diff --git a/CHANGES/10055.bugfix.rst b/CHANGES/10055.bugfix.rst
new file mode 120000
index 00000000000..b1f45d8b887
--- /dev/null
+++ b/CHANGES/10055.bugfix.rst
@@ -0,0 +1 @@
+10076.bugfix.rst
\ No newline at end of file
diff --git a/CHANGES/10076.bugfix.rst b/CHANGES/10076.bugfix.rst
new file mode 100644
index 00000000000..c577366bbe8
--- /dev/null
+++ b/CHANGES/10076.bugfix.rst
@@ -0,0 +1 @@
+Fixed invalid method logging unexpected being logged at exception level on subsequent connections -- by :user:`bdraco`.
diff --git a/aiohttp/web_protocol.py b/aiohttp/web_protocol.py
index d83c289a40b..0bffc849817 100644
--- a/aiohttp/web_protocol.py
+++ b/aiohttp/web_protocol.py
@@ -212,6 +212,7 @@ def __init__(
     ):
         super().__init__(loop)
 
+        # _request_count is the number of requests processed with the same connection.
         self._request_count = 0
         self._keepalive = False
         self._current_request: Optional[_Request] = None
@@ -713,11 +714,7 @@ def handle_error(
         Returns HTTP response with specific status code. Logs additional
         information. It always closes current connection.
         """
-        if (
-            self._manager
-            and self._manager.requests_count == 1
-            and isinstance(exc, BadHttpMethod)
-        ):
+        if self._request_count == 1 and isinstance(exc, BadHttpMethod):
             # BadHttpMethod is common when a client sends non-HTTP
             # or encrypted traffic to an HTTP port. This is expected
             # to happen when connected to the public internet so we log
diff --git a/aiohttp/web_server.py b/aiohttp/web_server.py
index 15541d80dc1..e2f6c350f9a 100644
--- a/aiohttp/web_server.py
+++ b/aiohttp/web_server.py
@@ -76,6 +76,8 @@ def __init__(
         self._loop = asyncio.get_running_loop()
         self._connections: Dict[RequestHandler[_Request], asyncio.Transport] = {}
         self._kwargs = kwargs
+        # requests_count is the number of requests being processed by the server
+        # for the lifetime of the server.
         self.requests_count = 0
         self.request_handler = handler
         self.request_factory = request_factory or self._make_request  # type: ignore[assignment]
diff --git a/tests/test_web_server.py b/tests/test_web_server.py
index 07d6c420f32..12e72b865da 100644
--- a/tests/test_web_server.py
+++ b/tests/test_web_server.py
@@ -97,6 +97,20 @@ async def handler(request: web.BaseRequest) -> NoReturn:
     # be probing for TLS/SSL support which is
     # expected to fail
     logger.debug.assert_called_with("Error handling request", exc_info=exc)
+    logger.debug.reset_mock()
+
+    # Now make another connection to the server
+    # to make sure that the exception is logged
+    # at debug on a second fresh connection
+    cli2 = await aiohttp_client(server)
+    resp = await cli2.get("/path/to")
+    assert resp.status == 500
+    assert resp.headers["Content-Type"].startswith("text/plain")
+    # BadHttpMethod should be logged as debug
+    # on the first request since the client may
+    # be probing for TLS/SSL support which is
+    # expected to fail
+    logger.debug.assert_called_with("Error handling request", exc_info=exc)
 
 
 async def test_raw_server_logs_invalid_method_without_loop_debug(