diff --git a/lib/internal/fs/streams.js b/lib/internal/fs/streams.js
index afb88d9eb152cb..343e09d7bc271b 100644
--- a/lib/internal/fs/streams.js
+++ b/lib/internal/fs/streams.js
@@ -22,7 +22,7 @@ const {
   copyObject,
   getOptions,
 } = require('internal/fs/utils');
-const { Readable, Writable } = require('stream');
+const { Readable, Writable, finished } = require('stream');
 const { toPathIfFileURL } = require('internal/url');
 const kIoDone = Symbol('kIoDone');
 const kIsPerformingIO = Symbol('kIsPerformingIO');
@@ -266,7 +266,8 @@ function closeFsStream(stream, cb, err) {
 }
 
 ReadStream.prototype.close = function(cb) {
-  this.destroy(null, cb);
+  if (typeof cb === 'function') finished(this, cb);
+  this.destroy();
 };
 
 ObjectDefineProperty(ReadStream.prototype, 'pending', {