diff --git a/doc/api/quic.md b/doc/api/quic.md
index 318f48cc62094e..cb3180e0cdf66a 100644
--- a/doc/api/quic.md
+++ b/doc/api/quic.md
@@ -1584,16 +1584,17 @@ with this `QuicSocket`.
 
 Read-only.
 
-#### quicsocket.close(\[callback\])
+#### quicsocket.close()
 <!-- YAML
 added: REPLACEME
 -->
 
-* `callback` {Function}
+* Returns: {Promise}
 
 Gracefully closes the `QuicSocket`. Existing `QuicSession` instances will be
 permitted to close naturally. New `QuicClientSession` and `QuicServerSession`
-instances will not be allowed.
+instances will not be allowed. The returns `Promise` will be resolved once
+the `QuicSocket` is destroyed.
 
 #### quicsocket.connect(\[options\])
 <!-- YAML
diff --git a/lib/internal/quic/core.js b/lib/internal/quic/core.js
index c33aef3c7ca6fd..9dffd0893b4fe4 100644
--- a/lib/internal/quic/core.js
+++ b/lib/internal/quic/core.js
@@ -252,8 +252,7 @@ const kRejections = Symbol.for('nodejs.rejection');
 const kSocketUnbound = 0;
 const kSocketPending = 1;
 const kSocketBound = 2;
-const kSocketClosing = 3;
-const kSocketDestroyed = 4;
+const kSocketDestroyed = 3;
 
 let diagnosticPacketLossWarned = false;
 let warnedVerifyHostnameIdentity = false;
@@ -939,6 +938,9 @@ class QuicSocket extends EventEmitter {
     alpn: undefined,
     bindPromise: undefined,
     client: undefined,
+    closePromise: undefined,
+    closePromiseResolve: undefined,
+    closePromiseReject: undefined,
     defaultEncoding: undefined,
     endpoints: new Set(),
     highWaterMark: undefined,
@@ -1089,8 +1091,10 @@ class QuicSocket extends EventEmitter {
   }
 
   [kRemoveSession](session) {
-    this[kInternalState].sessions.delete(session);
-    this[kMaybeDestroy]();
+    const state = this[kInternalState];
+    state.sessions.delete(session);
+    if (this.closing && state.sessions.size === 0)
+      this.destroy();
   }
 
   [kMaybeBind](options) {
@@ -1191,37 +1195,6 @@ class QuicSocket extends EventEmitter {
     });
   }
 
-  [kEndpointClose](endpoint, error) {
-    const state = this[kInternalState];
-    state.endpoints.delete(endpoint);
-    process.nextTick(() => {
-      try {
-        this.emit('endpointClose', endpoint, error);
-      } catch (error) {
-        this.destroy(error);
-      }
-    });
-
-    // If there aren't any more endpoints, the QuicSession
-    // is no longer usable and needs to be destroyed.
-    if (state.endpoints.size === 0) {
-      if (!this.destroyed)
-        return this.destroy(error);
-      this[kDestroy](error);
-    }
-  }
-
-  // kMaybeDestroy is called one or more times after the close() method
-  // is called. The QuicSocket will be destroyed if there are no remaining
-  // open sessions.
-  [kMaybeDestroy]() {
-    if (this.closing && this[kInternalState].sessions.size === 0) {
-      this.destroy();
-      return true;
-    }
-    return false;
-  }
-
   // Called by the C++ internals to notify when server busy status is toggled.
   [kServerBusy]() {
     const busy = this.serverBusy;
@@ -1419,6 +1392,26 @@ class QuicSocket extends EventEmitter {
     return session;
   }
 
+  [kEndpointClose](endpoint, error) {
+    const state = this[kInternalState];
+    state.endpoints.delete(endpoint);
+    process.nextTick(() => {
+      try {
+        this.emit('endpointClose', endpoint, error);
+      } catch (error) {
+        this.destroy(error);
+      }
+    });
+
+    // If there aren't any more endpoints, the QuicSession
+    // is no longer usable and needs to be destroyed.
+    if (state.endpoints.size === 0) {
+      if (!this.destroyed)
+        return this.destroy(error);
+      this[kDestroy](error);
+    }
+  }
+
   // Initiate a Graceful Close of the QuicSocket.
   // Existing QuicClientSession and QuicServerSession instances will be
   // permitted to close naturally and gracefully on their own.
@@ -1427,80 +1420,57 @@ class QuicSocket extends EventEmitter {
   // QuicClientSession or QuicServerSession instances, the QuicSocket
   // will be immediately closed.
   //
-  // If specified, the callback will be registered for once('close').
+  // Returns a Promise that will be resolved once the QuicSocket is
+  // destroyed.
   //
   // No additional QuicServerSession instances will be accepted from
   // remote peers, and calls to connect() to create QuicClientSession
   // instances will fail. The QuicSocket will be otherwise usable in
   // every other way.
   //
-  // Subsequent calls to close(callback) will register the close callback
-  // if one is defined but will otherwise do nothing.
-  //
   // Once initiated, a graceful close cannot be canceled. The graceful
   // close can be interupted, however, by abruptly destroying the
   // QuicSocket using the destroy() method.
   //
   // If close() is called before the QuicSocket has been bound (before
   // either connect() or listen() have been called, or the QuicSocket
-  // is still in the pending state, the callback is registered for the
-  // once('close') event (if specified) and the QuicSocket is destroyed
+  // is still in the pending state, the QuicSocket is destroyed
   // immediately.
-  close(callback) {
-    const state = this[kInternalState];
-    if (this.destroyed)
-      throw new ERR_INVALID_STATE('QuicSocket is already destroyed');
-
-    // If a callback function is specified, it is registered as a
-    // handler for the once('close') event. If the close occurs
-    // immediately, the close event will be emitted as soon as the
-    // process.nextTick queue is processed. Otherwise, the close
-    // event will occur at some unspecified time in the near future.
-    if (callback) {
-      if (typeof callback !== 'function')
-        throw new ERR_INVALID_CALLBACK();
-      this.once('close', callback);
-    }
-
-    // If we are already closing, do nothing else and wait
-    // for the close event to be invoked.
-    if (state.state === kSocketClosing)
-      return;
+  close() {
+    return this[kInternalState].closePromise || this[kClose]();
+  }
 
-    // If the QuicSocket is otherwise not bound to the local
-    // port, destroy the QuicSocket immediately.
-    if (state.state !== kSocketBound) {
-      this.destroy();
+  [kClose]() {
+    if (this.destroyed) {
+      return Promise.reject(
+        new ERR_INVALID_STATE('QuicSocket is already destroyed'));
     }
-
-    // Mark the QuicSocket as closing to prevent re-entry
-    state.state = kSocketClosing;
-
-    // Otherwise, gracefully close each QuicSession, with
-    // [kMaybeDestroy]() being called after each closes.
-    const maybeDestroy = this[kMaybeDestroy].bind(this);
+    const state = this[kInternalState];
+    const promise = deferredClosePromise(state);
 
     // Tell the underlying QuicSocket C++ object to stop
     // listening for new QuicServerSession connections.
     // New initial connection packets for currently unknown
     // DCID's will be ignored.
     if (this[kHandle])
-      this[kInternalState].sharedState.serverListening = false;
+      state.sharedState.serverListening = false;
 
-    // If there are no sessions, calling maybeDestroy
-    // will immediately and synchronously destroy the
-    // QuicSocket.
-    if (maybeDestroy())
-      return;
+    // If the QuicSocket is otherwise not bound to the local
+    // port, or there are not active sessions, destroy the
+    // QuicSocket immediately and we're done.
+    if (state.state !== kSocketBound || state.sessions.size === 0) {
+      this.destroy();
+      return promise;
+    }
 
-    // If we got this far, there a QuicClientSession and
-    // QuicServerSession instances still, we need to trigger
-    // a graceful close for each of them. As each closes,
-    // they will call the kMaybeDestroy function. When there
-    // are no remaining session instances, the QuicSocket
-    // will be closed and destroyed.
+    // Otherwise, loop through each of the known sessions
+    // and close them.
+    // TODO(@jasnell): These will be promises soon, but we
+    // do not want to await them.
     for (const session of state.sessions)
-      session.close(maybeDestroy);
+      session.close();
+
+    return promise;
   }
 
   // Initiate an abrupt close and destruction of the QuicSocket.
@@ -1546,7 +1516,14 @@ class QuicSocket extends EventEmitter {
   }
 
   [kDestroy](error) {
-    if (error) process.nextTick(emit.bind(this, 'error', error));
+    const state = this[kInternalState];
+    if (error) {
+      if (typeof state.closePromiseReject === 'function')
+        state.closePromiseReject(error);
+      process.nextTick(emit.bind(this, 'error', error));
+    } else if (typeof state.closePromiseResolve === 'function') {
+      state.closePromiseResolve();
+    }
     process.nextTick(emit.bind(this, 'close'));
   }
 
@@ -1587,7 +1564,7 @@ class QuicSocket extends EventEmitter {
 
   // True if graceful close has been initiated by calling close()
   get closing() {
-    return this[kInternalState].state === kSocketClosing;
+    return this[kInternalState].closePromise !== undefined;
   }
 
   // True if the QuicSocket has been destroyed and is no longer usable
diff --git a/test/parallel/test-quic-quicsession-server-destroy-early.js b/test/parallel/test-quic-quicsession-server-destroy-early.js
index e0dc1006ef6ad3..011afea837684f 100644
--- a/test/parallel/test-quic-quicsession-server-destroy-early.js
+++ b/test/parallel/test-quic-quicsession-server-destroy-early.js
@@ -23,15 +23,17 @@ const server = createQuicSocket({ server: options });
 
 (async function() {
   server.on('session', common.mustCall((session) => {
-    session.on('close', common.mustCall(() => {
-      client.close();
-      server.close();
-      assert.throws(() => server.close(), {
+    session.on('stream', common.mustNotCall());
+    session.on('close', common.mustCall(async () => {
+      await Promise.all([
+        client.close(),
+        server.close()
+      ]);
+      assert.rejects(server.close(), {
         code: 'ERR_INVALID_STATE',
         name: 'Error'
       });
     }));
-    session.on('stream', common.mustNotCall());
     session.destroy();
   }));
 
diff --git a/test/parallel/test-quic-quicsocket-close.js b/test/parallel/test-quic-quicsocket-close.js
index d3cd1ba6b46277..03aaf5281f4521 100644
--- a/test/parallel/test-quic-quicsocket-close.js
+++ b/test/parallel/test-quic-quicsocket-close.js
@@ -8,11 +8,12 @@ if (!common.hasQuic)
 const assert = require('assert');
 const { createQuicSocket } = require('net');
 
-{
-  const socket = createQuicSocket();
-  socket.close(common.mustCall());
-  socket.on('close', common.mustCall());
-  assert.throws(() => socket.close(), {
+const socket = createQuicSocket();
+socket.on('close', common.mustCall());
+
+(async function() {
+  await socket.close();
+  assert.rejects(() => socket.close(), {
     code: 'ERR_INVALID_STATE'
   });
-}
+})().then(common.mustCall());