diff --git a/lib/internal/streams/compose.js b/lib/internal/streams/compose.js
index 22f010b9834385..1b04a0f70a1e62 100644
--- a/lib/internal/streams/compose.js
+++ b/lib/internal/streams/compose.js
@@ -238,13 +238,14 @@ module.exports = function compose(...streams) {
     ondrain = null;
     onfinish = null;
 
+    if (isNodeStream(tail)) {
+      destroyer(tail, err);
+    }
+
     if (onclose === null) {
       callback(err);
     } else {
       onclose = callback;
-      if (isNodeStream(tail)) {
-        destroyer(tail, err);
-      }
     }
   };
 
diff --git a/test/parallel/test-stream-compose.js b/test/parallel/test-stream-compose.js
index cba7f9519d87eb..1ff8c39b7a2234 100644
--- a/test/parallel/test-stream-compose.js
+++ b/test/parallel/test-stream-compose.js
@@ -4,6 +4,7 @@
 
 const common = require('../common');
 const {
+  Duplex,
   Readable,
   Transform,
   Writable,
@@ -494,3 +495,47 @@ const assert = require('assert');
     assert.deepStrictEqual(await newStream.toArray(), [Buffer.from('Steve RogersOn your left')]);
   })().then(common.mustCall());
 }
+
+{
+  class DuplexProcess extends Duplex {
+    constructor(options) {
+      super({ ...options, objectMode: true });
+      this.stuff = [];
+    }
+
+    _write(message, _, callback) {
+      this.stuff.push(message);
+      callback();
+    }
+
+    _destroy(err, cb) {
+      cb(err);
+    }
+
+    _read() {
+      if (this.stuff.length) {
+        this.push(this.stuff.shift());
+      } else if (this.writableEnded) {
+        this.push(null);
+      } else {
+        this._read();
+      }
+    }
+  }
+
+  const pass = new PassThrough({ objectMode: true });
+  const duplex = new DuplexProcess();
+
+  const composed = compose(
+    pass,
+    duplex
+  ).on('error', () => {});
+
+  composed.write('hello');
+  composed.write('world');
+  composed.end();
+
+  composed.destroy(new Error('an unexpected error'));
+  assert.strictEqual(duplex.destroyed, true);
+
+}