diff --git a/tests/test_connector.py b/tests/test_connector.py
index 63dff162f4..3293c6bfc8 100644
--- a/tests/test_connector.py
+++ b/tests/test_connector.py
@@ -21,7 +21,6 @@
     Optional,
     Sequence,
     Tuple,
-    Union,
 )
 from unittest import mock
 
@@ -1064,6 +1063,13 @@ async def create_connection(
                 established_connection.close()
 
 
+@pytest.mark.parametrize(
+    ("request_url"),
+    [
+        ("http://mocked.host"),
+        ("https://mocked.host"),
+    ],
+)
 @mock.patch(
     "aiohttp.connector.aiohappyeyeballs.start_connection",
     autospec=True,
@@ -1072,6 +1078,7 @@ async def create_connection(
 async def test_tcp_connector_multiple_hosts_one_timeout(
     start_connection: mock.Mock,
     loop: asyncio.AbstractEventLoop,
+    request_url: str,
 ) -> None:
     conn = aiohttp.TCPConnector()
 
@@ -1079,38 +1086,43 @@ async def test_tcp_connector_multiple_hosts_one_timeout(
     ip2 = "192.168.1.2"
     ips = [ip1, ip2]
     ips_tried = []
+    ips_success = []
+    timeout_error = False
+    connected = False
 
     req = ClientRequest(
         "GET",
-        URL("https://mocked.host"),
+        URL(request_url),
         loop=loop,
     )
 
     async def _resolve_host(
-        host: str, port: int, traces: Optional[Sequence[Trace]] = None
+        host: str, port: int, traces: object = None
     ) -> List[ResolveResult]:
         return [
             {
                 "hostname": host,
                 "host": ip,
                 "port": port,
-                "family": socket.AF_INET,
+                "family": socket.AF_INET6 if ":" in ip else socket.AF_INET,
                 "proto": 0,
                 "flags": socket.AI_NUMERICHOST,
             }
             for ip in ips
         ]
 
-    timeout_error = False
-    connected = False
-
-    async def create_connection(
-        *args: object, **kwargs: object
-    ) -> Tuple[mock.Mock, mock.Mock]:
-        nonlocal timeout_error, connected
+    async def start_connection(
+        addr_infos: Sequence[AddrInfoType],
+        *,
+        interleave: Optional[int] = None,
+        **kwargs: object,
+    ) -> socket.socket:
+        nonlocal timeout_error
 
-        ip = args[1]
+        addr_info = addr_infos[0]
+        addr_info_addr = addr_info[-1]
 
+        ip = addr_info_addr[0]
         ips_tried.append(ip)
 
         if ip == ip1:
@@ -1118,35 +1130,52 @@ async def create_connection(
             raise asyncio.TimeoutError
 
         if ip == ip2:
-            connected = True
-            tr = create_mocked_conn(loop)
-            pr = create_mocked_conn(loop)
+            mock_socket = mock.create_autospec(
+                socket.socket, spec_set=True, instance=True
+            )
+            mock_socket.getpeername.return_value = addr_info_addr
+            return mock_socket  # type: ignore[no-any-return]
 
-            def get_extra_info(param: str) -> Union[bool, mock.Mock]:
-                if param == "sslcontext":
-                    return True
+        assert False
 
-                if param == "ssl_object":
-                    s = create_mocked_conn(loop)
-                    s.getpeercert.return_value = b"foo"
-                    return s
+    async def create_connection(
+        *args: object, sock: Optional[socket.socket] = None, **kwargs: object
+    ) -> Tuple[ResponseHandler, ResponseHandler]:
+        nonlocal connected
 
-                assert False
+        assert isinstance(sock, socket.socket)
+        addr_info = sock.getpeername()
+        ip = addr_info[0]
+        ips_success.append(ip)
+        connected = True
 
-            tr.get_extra_info = get_extra_info
-            return tr, pr
+        # Close the socket since we are not actually connecting
+        # and we don't want to leak it.
+        sock.close()
+        tr = create_mocked_conn(loop)
+        pr = create_mocked_conn(loop)
+        return tr, pr
 
-        assert False
+    with mock.patch.object(
+        conn, "_resolve_host", autospec=True, spec_set=True, side_effect=_resolve_host
+    ), mock.patch.object(
+        conn._loop,
+        "create_connection",
+        autospec=True,
+        spec_set=True,
+        side_effect=create_connection,
+    ), mock.patch(
+        "aiohttp.connector.aiohappyeyeballs.start_connection", start_connection
+    ):
+        established_connection = await conn.connect(req, [], ClientTimeout())
 
-    with mock.patch.object(conn, "_resolve_host", _resolve_host):
-        with mock.patch.object(conn._loop, "create_connection", create_connection):
-            established_connection = await conn.connect(req, [], ClientTimeout())
-            assert ips == ips_tried
+    assert ips_tried == ips
+    assert ips_success == [ip2]
 
-            assert timeout_error
-            assert connected
+    assert timeout_error
+    assert connected
 
-            established_connection.close()
+    established_connection.close()
 
 
 async def test_tcp_connector_resolve_host(loop: asyncio.AbstractEventLoop) -> None: