diff --git a/gunicorn/arbiter.py b/gunicorn/arbiter.py
index a23501e2..adca13d3 100644
--- a/gunicorn/arbiter.py
+++ b/gunicorn/arbiter.py
@@ -375,8 +375,11 @@ class Arbiter(object):
         :attr graceful: boolean, If True (the default) workers will be
         killed gracefully  (ie. trying to wait for the current connection)
         """
-
-        unlink = self.reexec_pid == self.master_pid == 0 and not self.systemd
+        unlink = (
+            self.reexec_pid == self.master_pid == 0
+            and not self.systemd
+            and not self.cfg.reuse_port
+        )
         sock.close_sockets(self.LISTENERS, unlink)
 
         self.LISTENERS = []
diff --git a/tests/test_arbiter.py b/tests/test_arbiter.py
index 5ab6e920..fa376ce7 100644
--- a/tests/test_arbiter.py
+++ b/tests/test_arbiter.py
@@ -12,6 +12,7 @@ except ImportError:
 
 import gunicorn.app.base
 import gunicorn.arbiter
+from gunicorn.config import ReusePort
 
 
 class DummyApplication(gunicorn.app.base.BaseApplication):
@@ -64,6 +65,15 @@ def test_arbiter_stop_does_not_unlink_systemd_listeners(close_sockets):
     close_sockets.assert_called_with([], False)
 
 
+@mock.patch('gunicorn.sock.close_sockets')
+def test_arbiter_stop_does_not_unlink_when_using_reuse_port(close_sockets):
+    arbiter = gunicorn.arbiter.Arbiter(DummyApplication())
+    arbiter.cfg.settings['reuse_port'] = ReusePort()
+    arbiter.cfg.settings['reuse_port'].set(True)
+    arbiter.stop()
+    close_sockets.assert_called_with([], False)
+
+
 @mock.patch('os.getpid')
 @mock.patch('os.fork')
 @mock.patch('os.execvpe')