new file mode 100644
--- /dev/null
+++ b/worker_shutdown_timeout_h2.t
@@ -0,0 +1,82 @@
+#!/usr/bin/perl
+
+# (C) Sergey Kandaurov
+# (C) Nginx, Inc.
+
+# Tests for worker_shutdown_timeout and HTTP/2 with proxy.
+
+###############################################################################
+
+use warnings;
+use strict;
+
+use Test::More;
+
+BEGIN { use FindBin; chdir($FindBin::Bin); }
+
+use lib 'lib';
+use Test::Nginx;
+use Test::Nginx::HTTP2;
+
+###############################################################################
+
+select STDERR; $| = 1;
+select STDOUT; $| = 1;
+
+my $t = Test::Nginx->new()->has(qw/http http_v2 proxy/)->plan(1);
+
+$t->write_file_expand('nginx.conf', <<'EOF');
+
+%%TEST_GLOBALS%%
+
+daemon off;
+worker_shutdown_timeout 10ms;
+
+events {
+}
+
+http {
+    %%TEST_GLOBALS_HTTP%%
+
+    server {
+        listen       127.0.0.1:8080 http2;
+        server_name  localhost;
+
+        location / {
+            proxy_pass http://127.0.0.1:8081;
+            proxy_read_timeout 200ms;
+        }
+    }
+}
+EOF
+
+$t->run_daemon(\&http_silent_daemon);
+$t->run()->waitforsocket('127.0.0.1:' . port(8081));
+
+###############################################################################
+
+my $s = Test::Nginx::HTTP2->new();
+ok($s->new_stream(), 'new stream');
+
+select undef, undef, undef, 0.1;
+$t->stop()->todo_alerts();
+
+###############################################################################
+
+sub http_silent_daemon {
+	my $server = IO::Socket::INET->new(
+		Proto => 'tcp',
+		LocalAddr => '127.0.0.1:' . port(8081),
+		Listen => 5,
+		Reuse => 1
+	)
+		or die "Can't create listening socket: $!\n";
+
+	while (my $client = $server->accept()) {
+		$client->autoflush(1);
+
+		while (<$client>) { }
+	}
+}
+
+###############################################################################