diff --git a/lib/internal/streams/pipeline.js b/lib/internal/streams/pipeline.js
index 7499e37c7b7afb..493a464d07b295 100644
--- a/lib/internal/streams/pipeline.js
+++ b/lib/internal/streams/pipeline.js
@@ -57,6 +57,10 @@ function destroyer(stream, reading, writing, final, callback) {
       return callback();
     }
 
+    if (!err && reading && !writing && stream.writable) {
+      return callback();
+    }
+
     if (err || !final || !stream.readable) {
       destroyImpl.destroyer(stream, err);
     }
diff --git a/test/parallel/test-stream-pipeline.js b/test/parallel/test-stream-pipeline.js
index 17532854f974fd..5175b7e07c53c2 100644
--- a/test/parallel/test-stream-pipeline.js
+++ b/test/parallel/test-stream-pipeline.js
@@ -1016,3 +1016,19 @@ const { promisify } = require('util');
     req.on('error', common.mustNotCall());
   });
 }
+
+{
+  // Might still want to be able to use the writable side
+  // of src. This is in the case where e.g. the Duplex input
+  // is not directly connected to its output. Such a case could
+  // happen when the Duplex is reading from a socket and then echos
+  // the data back on the same socket.
+  const src = new PassThrough();
+  assert.strictEqual(src.writable, true);
+  const dst = new PassThrough();
+  pipeline(src, dst, common.mustCall((err) => {
+    assert.strictEqual(src.writable, true);
+    assert.strictEqual(src.destroyed, false);
+  }));
+  src.push(null);
+}