diff --git a/lib/_stream_readable.js b/lib/_stream_readable.js
index 996a14ddc0dc7d..5d2300cf891bca 100644
--- a/lib/_stream_readable.js
+++ b/lib/_stream_readable.js
@@ -777,8 +777,13 @@ Readable.prototype.pipe = function(dest, pipeOpts) {
     debug('onerror', er);
     unpipe();
     dest.removeListener('error', onerror);
-    if (EE.listenerCount(dest, 'error') === 0)
-      errorOrDestroy(dest, er);
+    if (EE.listenerCount(dest, 'error') === 0) {
+      if (!dest.destroyed) {
+        errorOrDestroy(dest, er);
+      } else {
+        dest.emit('error', er);
+      }
+    }
   }
 
   // Make sure our error handler is attached before userland ones.
diff --git a/test/parallel/test-stream-pipe-error-unhandled.js b/test/parallel/test-stream-pipe-error-unhandled.js
new file mode 100644
index 00000000000000..42c1ce77fe4878
--- /dev/null
+++ b/test/parallel/test-stream-pipe-error-unhandled.js
@@ -0,0 +1,21 @@
+'use strict';
+const common = require('../common');
+const assert = require('assert');
+const { Readable, Writable } = require('stream');
+
+process.on('uncaughtException', common.mustCall((err) => {
+  assert.strictEqual(err.message, 'asd');
+}));
+
+const r = new Readable({
+  read() {
+    this.push('asd');
+  }
+});
+const w = new Writable({
+  autoDestroy: true,
+  write() {}
+});
+
+r.pipe(w);
+w.destroy(new Error('asd'));