diff --git a/Lib/test/test_socket.py b/Lib/test/test_socket.py
index e20364dca96a..704d46e67223 100644
--- a/Lib/test/test_socket.py
+++ b/Lib/test/test_socket.py
@@ -259,6 +259,7 @@ class GeneralModuleTests(unittest.TestCase):
 
     def test_repr(self):
         s = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
+        self.addCleanup(s.close)
         self.assertTrue(repr(s).startswith("<socket.socket object"))
 
     def test_weakref(self):
@@ -532,6 +533,7 @@ def testSockName(self):
         # Testing getsockname()
         port = self._get_unused_port()
         sock = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
+        self.addCleanup(sock.close)
         sock.bind(("0.0.0.0", port))
         name = sock.getsockname()
         # XXX(nnorwitz): http://tinyurl.com/os5jz seems to indicate
@@ -545,12 +547,14 @@ def testGetSockOpt(self):
         # Testing getsockopt()
         # We know a socket should start without reuse==0
         sock = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
+        self.addCleanup(sock.close)
         reuse = sock.getsockopt(socket.SOL_SOCKET, socket.SO_REUSEADDR)
         self.assertFalse(reuse != 0, "initial mode is reuse")
 
     def testSetSockOpt(self):
         # Testing setsockopt()
         sock = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
+        self.addCleanup(sock.close)
         sock.setsockopt(socket.SOL_SOCKET, socket.SO_REUSEADDR, 1)
         reuse = sock.getsockopt(socket.SOL_SOCKET, socket.SO_REUSEADDR)
         self.assertFalse(reuse == 0, "failed to set reuse mode")
@@ -784,6 +788,7 @@ def testFromFd(self):
         # Testing fromfd()
         fd = self.cli_conn.fileno()
         sock = socket.fromfd(fd, socket.AF_INET, socket.SOCK_STREAM)
+        self.addCleanup(sock.close)
         self.assertIsInstance(sock, socket.socket)
         msg = sock.recv(1024)
         self.assertEqual(msg, MSG)
@@ -794,6 +799,7 @@ def _testFromFd(self):
     def testDup(self):
         # Testing dup()
         sock = self.cli_conn.dup()
+        self.addCleanup(sock.close)
         msg = sock.recv(1024)
         self.assertEqual(msg, MSG)
 
@@ -824,6 +830,7 @@ def testDetach(self):
         # ...but we can create another socket using the (still open)
         # file descriptor
         sock = socket.socket(socket.AF_INET, socket.SOCK_STREAM, fileno=f)
+        self.addCleanup(sock.close)
         msg = sock.recv(1024)
         self.assertEqual(msg, MSG)
 
@@ -970,6 +977,7 @@ def testAccept(self):
         read, write, err = select.select([self.serv], [], [])
         if self.serv in read:
             conn, addr = self.serv.accept()
+            conn.close()
         else:
             self.fail("Error trying to do accept after select.")
 
@@ -980,6 +988,7 @@ def _testAccept(self):
     def testConnect(self):
         # Testing non-blocking connect
         conn, addr = self.serv.accept()
+        conn.close()
 
     def _testConnect(self):
         self.cli.settimeout(10)
@@ -998,6 +1007,7 @@ def testRecv(self):
         read, write, err = select.select([conn], [], [])
         if conn in read:
             msg = conn.recv(len(MSG))
+            conn.close()
             self.assertEqual(msg, MSG)
         else:
             self.fail("Error during select call to non-blocking socket.")
@@ -1441,6 +1451,7 @@ def mocked_socket_module(self):
     def test_connect(self):
         port = support.find_unused_port()
         cli = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
+        self.addCleanup(cli.close)
         with self.assertRaises(socket.error) as cm:
             cli.connect((HOST, port))
         self.assertEqual(cm.exception.errno, errno.ECONNREFUSED)
@@ -1478,16 +1489,19 @@ def clientTearDown(self):
 
     def _justAccept(self):
         conn, addr = self.serv.accept()
+        conn.close()
 
     testFamily = _justAccept
     def _testFamily(self):
         self.cli = socket.create_connection((HOST, self.port), timeout=30)
+        self.addCleanup(self.cli.close)
         self.assertEqual(self.cli.family, 2)
 
     testSourceAddress = _justAccept
     def _testSourceAddress(self):
         self.cli = socket.create_connection((HOST, self.port), timeout=30,
                 source_address=('', self.source_port))
+        self.addCleanup(self.cli.close)
         self.assertEqual(self.cli.getsockname()[1], self.source_port)
         # The port number being used is sufficient to show that the bind()
         # call happened.
@@ -1499,6 +1513,7 @@ def _testTimeoutDefault(self):
         socket.setdefaulttimeout(42)
         try:
             self.cli = socket.create_connection((HOST, self.port))
+            self.addCleanup(self.cli.close)
         finally:
             socket.setdefaulttimeout(None)
         self.assertEquals(self.cli.gettimeout(), 42)
@@ -1510,6 +1525,7 @@ def _testTimeoutNone(self):
         socket.setdefaulttimeout(30)
         try:
             self.cli = socket.create_connection((HOST, self.port), timeout=None)
+            self.addCleanup(self.cli.close)
         finally:
             socket.setdefaulttimeout(None)
         self.assertEqual(self.cli.gettimeout(), None)
@@ -1522,6 +1538,7 @@ def _testTimeoutValueNamed(self):
     testTimeoutValueNonamed = _justAccept
     def _testTimeoutValueNonamed(self):
         self.cli = socket.create_connection((HOST, self.port), 30)
+        self.addCleanup(self.cli.close)
         self.assertEqual(self.cli.gettimeout(), 30)
 
 @unittest.skipUnless(thread, 'Threading required for this test.')
@@ -1541,6 +1558,7 @@ def clientTearDown(self):
 
     def testInsideTimeout(self):
         conn, addr = self.serv.accept()
+        self.addCleanup(conn.close)
         time.sleep(3)
         conn.send(b"done!")
     testOutsideTimeout = testInsideTimeout
@@ -1834,6 +1852,7 @@ def _testSocketClass(self):
 
     def testCreateConnectionBase(self):
         conn, addr = self.serv.accept()
+        self.addCleanup(conn.close)
         data = conn.recv(1024)
         conn.sendall(data)
 
@@ -1847,6 +1866,7 @@ def _testCreateConnectionBase(self):
 
     def testCreateConnectionClose(self):
         conn, addr = self.serv.accept()
+        self.addCleanup(conn.close)
         data = conn.recv(1024)
         conn.sendall(data)