diff --git a/src/node_http2.cc b/src/node_http2.cc
index fc8385a39fa7ff..d3db319def4ad4 100644
--- a/src/node_http2.cc
+++ b/src/node_http2.cc
@@ -88,7 +88,8 @@ Http2Scope::Http2Scope(Http2Session* session) : session_(session) {
 Http2Scope::~Http2Scope() {
   if (!session_) return;
   session_->set_in_scope(false);
-  session_->MaybeScheduleWrite();
+  if (!session_->is_write_scheduled())
+    session_->MaybeScheduleWrite();
 }
 
 // The Http2Options object is used during the construction of Http2Session
diff --git a/test/parallel/test-http2-close-while-writing.js b/test/parallel/test-http2-close-while-writing.js
new file mode 100644
index 00000000000000..d8537c31b00eb6
--- /dev/null
+++ b/test/parallel/test-http2-close-while-writing.js
@@ -0,0 +1,46 @@
+'use strict';
+// https://github.com/nodejs/node/issues/33156
+const common = require('../common');
+const fixtures = require('../common/fixtures');
+
+if (!common.hasCrypto) {
+  common.skip('missing crypto');
+}
+
+const http2 = require('http2');
+
+const key = fixtures.readKey('agent8-key.pem', 'binary');
+const cert = fixtures.readKey('agent8-cert.pem', 'binary');
+const ca = fixtures.readKey('fake-startcom-root-cert.pem', 'binary');
+
+const server = http2.createSecureServer({
+  key,
+  cert,
+  maxSessionMemory: 1000
+});
+
+let client_stream;
+
+server.on('session', common.mustCall(function(session) {
+  session.on('stream', common.mustCall(function(stream) {
+    stream.resume();
+    stream.on('data', function() {
+      this.write(Buffer.alloc(1));
+      process.nextTick(() => client_stream.destroy());
+    });
+  }));
+}));
+
+server.listen(0, function() {
+  const client = http2.connect(`https://localhost:${server.address().port}`, {
+    ca,
+    maxSessionMemory: 1000
+  });
+  client_stream = client.request({ ':method': 'POST' });
+  client_stream.on('close', common.mustCall(() => {
+    client.close();
+    server.close();
+  }));
+  client_stream.resume();
+  client_stream.write(Buffer.alloc(64 * 1024));
+});