diff --git a/lib/internal/fs/promises.js b/lib/internal/fs/promises.js
index 9843064efbc472..c58c0698d30cf0 100644
--- a/lib/internal/fs/promises.js
+++ b/lib/internal/fs/promises.js
@@ -116,7 +116,7 @@ class FileHandle {
     return writeFile(this, data, options);
   }
 
-  close() {
+  close = () => {
     return this[kHandle].close();
   }
 }
@@ -411,7 +411,7 @@ async function lchmod(path, mode) {
     throw new ERR_METHOD_NOT_IMPLEMENTED('lchmod()');
 
   const fd = await open(path, O_WRONLY | O_SYMLINK);
-  return fchmod(fd, mode).finally(fd.close.bind(fd));
+  return fchmod(fd, mode).finally(fd.close);
 }
 
 async function lchown(path, uid, gid) {
@@ -476,7 +476,7 @@ async function writeFile(path, data, options) {
     return writeFileHandle(path, data, options);
 
   const fd = await open(path, flag, options.mode);
-  return writeFileHandle(fd, data, options).finally(fd.close.bind(fd));
+  return writeFileHandle(fd, data, options).finally(fd.close);
 }
 
 async function appendFile(path, data, options) {
@@ -494,7 +494,7 @@ async function readFile(path, options) {
     return readFileHandle(path, options);
 
   const fd = await open(path, flag, 0o666);
-  return readFileHandle(fd, options).finally(fd.close.bind(fd));
+  return readFileHandle(fd, options).finally(fd.close);
 }
 
 module.exports = {
diff --git a/lib/internal/fs/streams.js b/lib/internal/fs/streams.js
index 1ef52333a8bda9..4d2fc757018156 100644
--- a/lib/internal/fs/streams.js
+++ b/lib/internal/fs/streams.js
@@ -372,7 +372,7 @@ WriteStream.prototype.close = function(cb) {
   // If we are not autoClosing, we should call
   // destroy on 'finish'.
   if (!this.autoClose) {
-    this.on('finish', this.destroy.bind(this));
+    this.on('finish', this.destroy);
   }
 
   // We use end() instead of destroy() because of