diff --git a/lib/_stream_transform.js b/lib/_stream_transform.js
index 564cdf0e82a986..2fdd0d721b63be 100644
--- a/lib/_stream_transform.js
+++ b/lib/_stream_transform.js
@@ -107,8 +107,10 @@ function Transform(options) {
 }
 
 function final(cb) {
+  let called = false;
   if (typeof this._flush === 'function' && !this.destroyed) {
-    this._flush((er, data) => {
+    const result = this._flush((er, data) => {
+      called = true;
       if (er) {
         if (cb) {
           cb(er);
@@ -126,6 +128,33 @@ function final(cb) {
         cb();
       }
     });
+    if (result !== undefined && result !== null) {
+      try {
+        const then = result.then;
+        if (typeof then === 'function') {
+          then.call(
+            result,
+            (data) => {
+              if (called)
+                return;
+              if (data != null)
+                this.push(data);
+              this.push(null);
+              if (cb)
+                process.nextTick(cb);
+            },
+            (err) => {
+              if (cb) {
+                process.nextTick(cb, err);
+              } else {
+                process.nextTick(() => this.destroy(err));
+              }
+            });
+        }
+      } catch (err) {
+        process.nextTick(() => this.destroy(err));
+      }
+    }
   } else {
     this.push(null);
     if (cb) {
@@ -151,7 +180,9 @@ Transform.prototype._write = function(chunk, encoding, callback) {
   const wState = this._writableState;
   const length = rState.length;
 
-  this._transform(chunk, encoding, (err, val) => {
+  let called = false;
+  const result = this._transform(chunk, encoding, (err, val) => {
+    called = true;
     if (err) {
       callback(err);
       return;
@@ -172,6 +203,38 @@ Transform.prototype._write = function(chunk, encoding, callback) {
       this[kCallback] = callback;
     }
   });
+  if (result !== undefined && result != null) {
+    try {
+      const then = result.then;
+      if (typeof then === 'function') {
+        then.call(
+          result,
+          (val) => {
+            if (called)
+              return;
+
+            if (val != null) {
+              this.push(val);
+            }
+
+            if (
+              wState.ended ||
+              length === rState.length ||
+              rState.length < rState.highWaterMark ||
+              rState.length === 0) {
+              process.nextTick(callback);
+            } else {
+              this[kCallback] = callback;
+            }
+          },
+          (err) => {
+            process.nextTick(callback, err);
+          });
+      }
+    } catch (err) {
+      process.nextTick(callback, err);
+    }
+  }
 };
 
 Transform.prototype._read = function() {
diff --git a/lib/_stream_writable.js b/lib/_stream_writable.js
index 1232742eb900ec..22aee3236c4ea7 100644
--- a/lib/_stream_writable.js
+++ b/lib/_stream_writable.js
@@ -647,7 +647,7 @@ function needFinish(state) {
 function callFinal(stream, state) {
   state.sync = true;
   state.pendingcb++;
-  stream._final((err) => {
+  const result = stream._final((err) => {
     state.pendingcb--;
     if (err) {
       for (const callback of state[kOnFinished].splice(0)) {
@@ -664,6 +664,31 @@ function callFinal(stream, state) {
       process.nextTick(finish, stream, state);
     }
   });
+  if (result !== undefined && result !== null) {
+    try {
+      const then = result.then;
+      if (typeof then === 'function') {
+        then.call(
+          result,
+          function() {
+            if (state.prefinished)
+              return;
+            state.prefinish = true;
+            process.nextTick(() => stream.emit('prefinish'));
+            state.pendingcb++;
+            process.nextTick(finish, stream, state);
+          },
+          function(err) {
+            for (const callback of state[kOnFinished].splice(0)) {
+              process.nextTick(callback, err);
+            }
+            process.nextTick(errorOrDestroy, stream, err, state.sync);
+          });
+      }
+    } catch (err) {
+      process.nextTick(errorOrDestroy, stream, err, state.sync);
+    }
+  }
   state.sync = false;
 }
 
diff --git a/lib/internal/streams/destroy.js b/lib/internal/streams/destroy.js
index 3bccd46b7e65da..510f7a40c8ddd6 100644
--- a/lib/internal/streams/destroy.js
+++ b/lib/internal/streams/destroy.js
@@ -59,10 +59,13 @@ function destroy(err, cb) {
 }
 
 function _destroy(self, err, cb) {
-  self._destroy(err || null, (err) => {
+  let called = false;
+  const result = self._destroy(err || null, (err) => {
     const r = self._readableState;
     const w = self._writableState;
 
+    called = true;
+
     if (err) {
       // Avoid V8 leak, https://github.com/nodejs/node/pull/34103#issuecomment-652002364
       err.stack;
@@ -92,6 +95,64 @@ function _destroy(self, err, cb) {
       process.nextTick(emitCloseNT, self);
     }
   });
+  if (result !== undefined && result !== null) {
+    try {
+      const then = result.then;
+      if (typeof then === 'function') {
+        then.call(
+          result,
+          function() {
+            if (called)
+              return;
+
+            const r = self._readableState;
+            const w = self._writableState;
+
+            if (w) {
+              w.closed = true;
+            }
+            if (r) {
+              r.closed = true;
+            }
+
+            if (typeof cb === 'function') {
+              process.nextTick(cb);
+            }
+
+            process.nextTick(emitCloseNT, self);
+          },
+          function(err) {
+            const r = self._readableState;
+            const w = self._writableState;
+            err.stack;
+
+            called = true;
+
+            if (w && !w.errored) {
+              w.errored = err;
+            }
+            if (r && !r.errored) {
+              r.errored = err;
+            }
+
+            if (w) {
+              w.closed = true;
+            }
+            if (r) {
+              r.closed = true;
+            }
+
+            if (typeof cb === 'function') {
+              process.nextTick(cb, err);
+            }
+
+            process.nextTick(emitErrorCloseNT, self, err);
+          });
+      }
+    } catch (err) {
+      process.nextTick(emitErrorNT, self, err);
+    }
+  }
 }
 
 function emitErrorCloseNT(self, err) {
@@ -230,7 +291,7 @@ function constructNT(stream) {
   const s = w || r;
 
   let called = false;
-  stream._construct((err) => {
+  const result = stream._construct((err) => {
     if (r) {
       r.constructed = true;
     }
@@ -252,6 +313,47 @@ function constructNT(stream) {
       process.nextTick(emitConstructNT, stream);
     }
   });
+  if (result !== undefined && result !== null) {
+    try {
+      const then = result.then;
+      if (typeof then === 'function') {
+        then.call(
+          result,
+          function() {
+            // If the callback was invoked, do nothing further.
+            if (called)
+              return;
+            if (r) {
+              r.constructed = true;
+            }
+            if (w) {
+              w.constructed = true;
+            }
+            if (s.destroyed) {
+              process.nextTick(() => stream.emit(kDestroy));
+            } else {
+              process.nextTick(emitConstructNT, stream);
+            }
+          },
+          function(err) {
+            if (r) {
+              r.constructed = true;
+            }
+            if (w) {
+              w.constructed = true;
+            }
+            called = true;
+            if (s.destroyed) {
+              process.nextTick(() => stream.emit(kDestroy, err));
+            } else {
+              process.nextTick(errorOrDestroy, stream, err);
+            }
+          });
+      }
+    } catch (err) {
+      process.nextTick(emitErrorNT, stream, err);
+    }
+  }
 }
 
 function emitConstructNT(stream) {
diff --git a/test/parallel/test-stream-construct-async-error.js b/test/parallel/test-stream-construct-async-error.js
new file mode 100644
index 00000000000000..34e450c853a850
--- /dev/null
+++ b/test/parallel/test-stream-construct-async-error.js
@@ -0,0 +1,258 @@
+'use strict';
+
+const common = require('../common');
+const {
+  Duplex,
+  Writable,
+  Transform,
+} = require('stream');
+const { setTimeout } = require('timers/promises');
+const assert = require('assert');
+
+{
+  class Foo extends Duplex {
+    async _construct(cb) {
+      // eslint-disable-next-line no-restricted-syntax
+      await setTimeout(common.platformTimeout(1));
+      cb();
+      throw new Error('boom');
+    }
+  }
+
+  const foo = new Foo();
+  foo.on('error', common.expectsError({
+    message: 'boom'
+  }));
+  foo.on('close', common.mustCall(() => {
+    assert(foo._writableState.constructed);
+    assert(foo._readableState.constructed);
+  }));
+}
+
+{
+  class Foo extends Duplex {
+    async _destroy(err, cb) {
+      // eslint-disable-next-line no-restricted-syntax
+      await setTimeout(common.platformTimeout(1));
+      throw new Error('boom');
+    }
+  }
+
+  const foo = new Foo();
+  foo.destroy();
+  foo.on('error', common.expectsError({
+    message: 'boom'
+  }));
+  foo.on('close', common.mustCall(() => {
+    assert(foo.destroyed);
+  }));
+}
+
+{
+  class Foo extends Duplex {
+    async _destroy(err, cb) {
+      // eslint-disable-next-line no-restricted-syntax
+      await setTimeout(common.platformTimeout(1));
+    }
+  }
+
+  const foo = new Foo();
+  foo.destroy();
+  foo.on('close', common.mustCall(() => {
+    assert(foo.destroyed);
+  }));
+}
+
+{
+  class Foo extends Duplex {
+    async _construct() {
+      // eslint-disable-next-line no-restricted-syntax
+      await setTimeout(common.platformTimeout(1));
+    }
+
+    _write = common.mustCall((chunk, encoding, cb) => {
+      cb();
+    })
+
+    _read() {}
+  }
+
+  const foo = new Foo();
+  foo.write('test', common.mustCall());
+}
+
+{
+  class Foo extends Duplex {
+    async _construct(callback) {
+      // eslint-disable-next-line no-restricted-syntax
+      await setTimeout(common.platformTimeout(1));
+      callback();
+    }
+
+    _write = common.mustCall((chunk, encoding, cb) => {
+      cb();
+    })
+
+    _read() {}
+  }
+
+  const foo = new Foo();
+  foo.write('test', common.mustCall());
+}
+
+{
+  class Foo extends Writable {
+    _write = common.mustCall((chunk, encoding, cb) => {
+      cb();
+    })
+
+    async _final() {
+      // eslint-disable-next-line no-restricted-syntax
+      await setTimeout(common.platformTimeout(1));
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('finish', common.mustCall());
+}
+
+{
+  class Foo extends Writable {
+    _write = common.mustCall((chunk, encoding, cb) => {
+      cb();
+    })
+
+    async _final(callback) {
+      // eslint-disable-next-line no-restricted-syntax
+      await setTimeout(common.platformTimeout(1));
+      callback();
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('finish', common.mustCall());
+}
+
+{
+  class Foo extends Writable {
+    _write = common.mustCall((chunk, encoding, cb) => {
+      cb();
+    })
+
+    async _final() {
+      // eslint-disable-next-line no-restricted-syntax
+      await setTimeout(common.platformTimeout(1));
+      throw new Error('boom');
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('error', common.expectsError({
+    message: 'boom'
+  }));
+  foo.on('close', common.mustCall());
+}
+
+{
+  const expected = ['hello', 'world'];
+  class Foo extends Transform {
+    async _flush() {
+      return 'world';
+    }
+
+    _transform(chunk, encoding, callback) {
+      callback(null, chunk);
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('data', common.mustCall((chunk) => {
+    assert.strictEqual(chunk.toString(), expected.shift());
+  }, 2));
+}
+
+{
+  const expected = ['hello', 'world'];
+  class Foo extends Transform {
+    async _flush(callback) {
+      callback(null, 'world');
+    }
+
+    _transform(chunk, encoding, callback) {
+      callback(null, chunk);
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('data', common.mustCall((chunk) => {
+    assert.strictEqual(chunk.toString(), expected.shift());
+  }, 2));
+}
+
+{
+  class Foo extends Transform {
+    async _flush(callback) {
+      throw new Error('boom');
+    }
+
+    _transform(chunk, encoding, callback) {
+      callback(null, chunk);
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('data', common.mustCall());
+  foo.on('error', common.expectsError({
+    message: 'boom'
+  }));
+  foo.on('close', common.mustCall());
+}
+
+{
+  class Foo extends Transform {
+    async _transform(chunk) {
+      return chunk.toString().toUpperCase();
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('data', common.mustCall((chunk) => {
+    assert.strictEqual(chunk.toString(), 'HELLO');
+  }));
+}
+
+{
+  class Foo extends Transform {
+    async _transform(chunk, _, callback) {
+      callback(null, chunk.toString().toUpperCase());
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('data', common.mustCall((chunk) => {
+    assert.strictEqual(chunk.toString(), 'HELLO');
+  }));
+}
+
+{
+  class Foo extends Transform {
+    async _transform() {
+      throw new Error('boom');
+    }
+  }
+
+  const foo = new Foo();
+  foo.end('hello');
+  foo.on('error', common.expectsError({
+    message: 'boom'
+  }));
+  foo.on('close', common.mustCall());
+}