diff --git a/lib/internal/http2/compat.js b/lib/internal/http2/compat.js
index 1fe118b20f..b16631e752 100644
--- a/lib/internal/http2/compat.js
+++ b/lib/internal/http2/compat.js
@@ -416,8 +416,18 @@ class Http2ServerResponse extends Stream {
 
   write(chunk, encoding, cb) {
     var stream = this[kStream];
+
+    if (typeof encoding === 'function') {
+      cb = encoding;
+      encoding = 'utf8';
+    }
+
     if (stream === undefined) {
-      cb(new Error('HTTP/2 Stream has been closed'));
+      var err = new Error('HTTP/2 Stream has been closed');
+      if (cb)
+        cb(err);
+      else
+        this.emit('error', err);
       return;
     }
     var beginSend = this[kBeginSend];
diff --git a/test/parallel/test-http2-compat-serverresponse-write-no-cb.js b/test/parallel/test-http2-compat-serverresponse-write-no-cb.js
new file mode 100644
index 0000000000..7d7aaa9d2d
--- /dev/null
+++ b/test/parallel/test-http2-compat-serverresponse-write-no-cb.js
@@ -0,0 +1,95 @@
+'use strict';
+
+const common = require('../common');
+const assert = require('assert');
+const h2 = require('http2');
+
+// Http2ServerResponse.write does not imply there is a callback
+
+{
+  const server = h2.createServer();
+  server.listen(0, common.mustCall(function() {
+    const port = server.address().port;
+    const url = `http://localhost:${port}`;
+    const client = h2.connect(url, common.mustCall(function() {
+      const headers = {
+        ':path': '/',
+        ':method': 'GET',
+        ':scheme': 'http',
+        ':authority': `localhost:${port}`
+      };
+      const request = client.request(headers);
+      request.end();
+      request.resume();
+    }));
+
+    server.once('request', common.mustCall(function(request, response) {
+      client.destroy();
+      response.stream.session.on('close', common.mustCall(function() {
+        response.on('error', common.mustCall(function(err) {
+          assert.strictEqual(err.message, 'HTTP/2 Stream has been closed');
+        }));
+        response.write('muahaha');
+        server.close();
+      }));
+    }));
+  }));
+}
+
+{
+  const server = h2.createServer();
+  server.listen(0, common.mustCall(function() {
+    const port = server.address().port;
+    const url = `http://localhost:${port}`;
+    const client = h2.connect(url, common.mustCall(function() {
+      const headers = {
+        ':path': '/',
+        ':method': 'get',
+        ':scheme': 'http',
+        ':authority': `localhost:${port}`
+      };
+      const request = client.request(headers);
+      request.end();
+      request.resume();
+    }));
+
+    server.once('request', common.mustCall(function(request, response) {
+      client.destroy();
+      response.stream.session.on('close', common.mustCall(function() {
+        response.write('muahaha', common.mustCall(function(err) {
+          assert.strictEqual(err.message, 'HTTP/2 Stream has been closed');
+        }));
+        server.close();
+      }));
+    }));
+  }));
+}
+
+{
+  const server = h2.createServer();
+  server.listen(0, common.mustCall(function() {
+    const port = server.address().port;
+    const url = `http://localhost:${port}`;
+    const client = h2.connect(url, common.mustCall(function() {
+      const headers = {
+        ':path': '/',
+        ':method': 'get',
+        ':scheme': 'http',
+        ':authority': `localhost:${port}`
+      };
+      const request = client.request(headers);
+      request.end();
+      request.resume();
+    }));
+
+    server.once('request', common.mustCall(function(request, response) {
+      response.stream.session.on('close', common.mustCall(function() {
+        response.write('muahaha', 'utf8', common.mustCall(function(err) {
+          assert.strictEqual(err.message, 'HTTP/2 Stream has been closed');
+        }));
+        server.close();
+      }));
+      client.destroy();
+    }));
+  }));
+}