diff --git a/doc/api/stream.md b/doc/api/stream.md
index 91fe70555d0e46..5dc48713fd2dc6 100644
--- a/doc/api/stream.md
+++ b/doc/api/stream.md
@@ -456,6 +456,16 @@ further errors except from `_destroy()` may be emitted as `'error'`.
 Implementors should not override this method,
 but instead implement [`writable._destroy()`][writable-_destroy].
 
+##### `writable.closed`
+
+<!-- YAML
+added: REPLACEME
+-->
+
+* {boolean}
+
+Is `true` after `'close'` has been emitted.
+
 ##### `writable.destroyed`
 
 <!-- YAML
@@ -611,6 +621,17 @@ added:
 Number of times [`writable.uncork()`][stream-uncork] needs to be
 called in order to fully uncork the stream.
 
+##### `writable.writableErrored`
+
+<!-- YAML
+added:
+  REPLACEME
+-->
+
+* {Error}
+
+Returns error if the stream has been destroyed with an error.
+
 ##### `writable.writableFinished`
 
 <!-- YAML
@@ -1080,7 +1101,7 @@ further errors except from `_destroy()` may be emitted as `'error'`.
 Implementors should not override this method, but instead implement
 [`readable._destroy()`][readable-_destroy].
 
-##### `readable.destroyed`
+##### `readable.closed`
 
 <!-- YAML
 added: v8.0.0
@@ -1088,6 +1109,16 @@ added: v8.0.0
 
 * {boolean}
 
+Is `true` after `'close'` has been emitted.
+
+##### `readable.destroyed`
+
+<!-- YAML
+added: REPLACEME
+-->
+
+* {boolean}
+
 Is `true` after [`readable.destroy()`][readable-destroy] has been called.
 
 ##### `readable.isPaused()`
@@ -1346,6 +1377,17 @@ added: v12.9.0
 
 Becomes `true` when [`'end'`][] event is emitted.
 
+##### `readable.readableErrored`
+
+<!-- YAML
+added:
+  REPLACEME
+-->
+
+* {Error}
+
+Returns error if the stream has been destroyed with an error.
+
 ##### `readable.readableFlowing`
 
 <!-- YAML
diff --git a/lib/internal/fs/streams.js b/lib/internal/fs/streams.js
index 5e9e338ab1fcbd..c7ecbff76cefd6 100644
--- a/lib/internal/fs/streams.js
+++ b/lib/internal/fs/streams.js
@@ -107,12 +107,9 @@ const FileHandleOperations = (handle) => {
 
 function close(stream, err, cb) {
   if (!stream.fd) {
-    // TODO(ronag)
-    // stream.closed = true;
     cb(err);
   } else {
     stream[kFs].close(stream.fd, (er) => {
-      stream.closed = true;
       cb(er || err);
     });
     stream.fd = null;
@@ -186,7 +183,6 @@ function ReadStream(path, options) {
   this.end = options.end;
   this.pos = undefined;
   this.bytesRead = 0;
-  this.closed = false;
   this[kIsPerformingIO] = false;
 
   if (this.start !== undefined) {
@@ -358,10 +354,8 @@ function WriteStream(path, options) {
   this.start = options.start;
   this.pos = undefined;
   this.bytesWritten = 0;
-  this.closed = false;
   this[kIsPerformingIO] = false;
 
-
   if (this.start !== undefined) {
     validateInteger(this.start, 'start', 0);
 
diff --git a/lib/internal/streams/end-of-stream.js b/lib/internal/streams/end-of-stream.js
index c224b44eac6631..eb578ac4464c17 100644
--- a/lib/internal/streams/end-of-stream.js
+++ b/lib/internal/streams/end-of-stream.js
@@ -22,9 +22,11 @@ const {
   isReadable,
   isReadableNodeStream,
   isReadableFinished,
+  isReadableErrored,
   isWritable,
   isWritableNodeStream,
   isWritableFinished,
+  isWritableErrored,
   isNodeStream,
   willEmitClose: _willEmitClose,
 } = require('internal/streams/utils');
@@ -110,7 +112,7 @@ function eos(stream, options, callback) {
   const onclose = () => {
     closed = true;
 
-    const errored = wState?.errored || rState?.errored;
+    const errored = isWritableErrored(stream) || isReadableErrored(stream);
 
     if (errored && typeof errored !== 'boolean') {
       return callback.call(stream, errored);
diff --git a/lib/internal/streams/readable.js b/lib/internal/streams/readable.js
index 3d37f277a37779..bd9c288aa71929 100644
--- a/lib/internal/streams/readable.js
+++ b/lib/internal/streams/readable.js
@@ -1239,13 +1239,23 @@ ObjectDefineProperties(Readable.prototype, {
     }
   },
 
+  readableErrored: {
+    enumerable: false,
+    get() {
+      return this._readableState ? this._readableState.errored : null;
+    }
+  },
+
+  closed: {
+    get() {
+      return this._readableState ? this._readableState.closed : false;
+    }
+  },
+
   destroyed: {
     enumerable: false,
     get() {
-      if (this._readableState === undefined) {
-        return false;
-      }
-      return this._readableState.destroyed;
+      return this._readableState ? this._readableState.destroyed : false;
     },
     set(value) {
       // We ignore the value if the stream
diff --git a/lib/internal/streams/utils.js b/lib/internal/streams/utils.js
index a77ae4d9321754..854daae9de41b8 100644
--- a/lib/internal/streams/utils.js
+++ b/lib/internal/streams/utils.js
@@ -144,11 +144,39 @@ function isFinished(stream, opts) {
   return true;
 }
 
+function isWritableErrored(stream) {
+  if (!isNodeStream(stream)) {
+    return null;
+  }
+
+  if (stream.writableErrored) {
+    return stream.writableErrored;
+  }
+
+  return stream._writableState?.errored ?? null;
+}
+
+function isReadableErrored(stream) {
+  if (!isNodeStream(stream)) {
+    return null;
+  }
+
+  if (stream.readableErrored) {
+    return stream.readableErrored;
+  }
+
+  return stream._readableState?.errored ?? null;
+}
+
 function isClosed(stream) {
   if (!isNodeStream(stream)) {
     return null;
   }
 
+  if (typeof stream.closed === 'boolean') {
+    return stream.closed;
+  }
+
   const wState = stream._writableState;
   const rState = stream._readableState;
 
@@ -226,11 +254,13 @@ module.exports = {
   isReadableNodeStream,
   isReadableEnded,
   isReadableFinished,
+  isReadableErrored,
   isNodeStream,
   isWritable,
   isWritableNodeStream,
   isWritableEnded,
   isWritableFinished,
+  isWritableErrored,
   isServerRequest,
   isServerResponse,
   willEmitClose,
diff --git a/lib/internal/streams/writable.js b/lib/internal/streams/writable.js
index 727e7ede71f8aa..92e982e4821586 100644
--- a/lib/internal/streams/writable.js
+++ b/lib/internal/streams/writable.js
@@ -768,6 +768,12 @@ function finish(stream, state) {
 
 ObjectDefineProperties(Writable.prototype, {
 
+  closed: {
+    get() {
+      return this._writableState ? this._writableState.closed : false;
+    }
+  },
+
   destroyed: {
     get() {
       return this._writableState ? this._writableState.destroyed : false;
@@ -846,7 +852,14 @@ ObjectDefineProperties(Writable.prototype, {
     get() {
       return this._writableState && this._writableState.length;
     }
-  }
+  },
+
+  writableErrored: {
+    enumerable: false,
+    get() {
+      return this._writableState ? this._writableState.errored : null;
+    }
+  },
 });
 
 const destroy = destroyImpl.destroy;
diff --git a/test/parallel/test-fs-read-stream-inherit.js b/test/parallel/test-fs-read-stream-inherit.js
index 5c8bbef0e499c0..46a22281abfb42 100644
--- a/test/parallel/test-fs-read-stream-inherit.js
+++ b/test/parallel/test-fs-read-stream-inherit.js
@@ -199,7 +199,7 @@ const rangeFile = fixtures.path('x.txt');
   file.on('error', common.mustCall());
 
   process.on('exit', function() {
-    assert(!file.closed);
+    assert(file.closed);
     assert(file.destroyed);
   });
 }
diff --git a/test/parallel/test-fs-read-stream.js b/test/parallel/test-fs-read-stream.js
index 243fc78afcda89..8161dad5bbe3ba 100644
--- a/test/parallel/test-fs-read-stream.js
+++ b/test/parallel/test-fs-read-stream.js
@@ -271,7 +271,7 @@ if (!common.isWindows) {
   file.on('error', common.mustCall());
 
   process.on('exit', function() {
-    assert(!file.closed);
+    assert(file.closed);
     assert(file.destroyed);
   });
 }
diff --git a/test/parallel/test-stream-finished.js b/test/parallel/test-stream-finished.js
index 8ada0c4c348cb7..e2d654a4645a97 100644
--- a/test/parallel/test-stream-finished.js
+++ b/test/parallel/test-stream-finished.js
@@ -612,8 +612,10 @@ testClosed((opts) => new Writable({ write() {}, ...opts }));
   const w = new Writable();
   const _err = new Error();
   w.destroy(_err);
+  assert.strictEqual(w.writableErrored, _err);
   finished(w, common.mustCall((err) => {
     assert.strictEqual(_err, err);
+    assert.strictEqual(w.closed, true);
     finished(w, common.mustCall((err) => {
       assert.strictEqual(_err, err);
     }));
@@ -623,7 +625,9 @@ testClosed((opts) => new Writable({ write() {}, ...opts }));
 {
   const w = new Writable();
   w.destroy();
+  assert.strictEqual(w.writableErrored, null);
   finished(w, common.mustCall((err) => {
+    assert.strictEqual(w.closed, true);
     assert.strictEqual(err.code, 'ERR_STREAM_PREMATURE_CLOSE');
     finished(w, common.mustCall((err) => {
       assert.strictEqual(err.code, 'ERR_STREAM_PREMATURE_CLOSE');
diff --git a/test/parallel/test-stream-readable-destroy.js b/test/parallel/test-stream-readable-destroy.js
index ffea6cb9c869f3..fe47995f11822b 100644
--- a/test/parallel/test-stream-readable-destroy.js
+++ b/test/parallel/test-stream-readable-destroy.js
@@ -13,6 +13,7 @@ const assert = require('assert');
   read.on('close', common.mustCall());
 
   read.destroy();
+  assert.strictEqual(read.readableErrored, null);
   assert.strictEqual(read.destroyed, true);
 }
 
@@ -31,6 +32,7 @@ const assert = require('assert');
   }));
 
   read.destroy(expected);
+  assert.strictEqual(read.readableErrored, expected);
   assert.strictEqual(read.destroyed, true);
 }