diff --git a/fastapi/security/api_key.py b/fastapi/security/api_key.py
index 70c2dca8a..bed9d96c3 100644
--- a/fastapi/security/api_key.py
+++ b/fastapi/security/api_key.py
@@ -3,7 +3,7 @@ from typing import Optional
 from fastapi.openapi.models import APIKey, APIKeyIn
 from fastapi.security.base import SecurityBase
 from starlette.exceptions import HTTPException
-from starlette.requests import Request
+from starlette.requests import HTTPConnection
 from starlette.status import HTTP_403_FORBIDDEN
 from typing_extensions import Annotated, Doc
 
@@ -107,7 +107,7 @@ class APIKeyQuery(APIKeyBase):
         self.scheme_name = scheme_name or self.__class__.__name__
         self.auto_error = auto_error
 
-    async def __call__(self, request: Request) -> Optional[str]:
+    async def __call__(self, request: HTTPConnection) -> Optional[str]:
         api_key = request.query_params.get(self.model.name)
         return self.check_api_key(api_key, self.auto_error)
 
@@ -195,7 +195,7 @@ class APIKeyHeader(APIKeyBase):
         self.scheme_name = scheme_name or self.__class__.__name__
         self.auto_error = auto_error
 
-    async def __call__(self, request: Request) -> Optional[str]:
+    async def __call__(self, request: HTTPConnection) -> Optional[str]:
         api_key = request.headers.get(self.model.name)
         return self.check_api_key(api_key, self.auto_error)
 
@@ -283,6 +283,6 @@ class APIKeyCookie(APIKeyBase):
         self.scheme_name = scheme_name or self.__class__.__name__
         self.auto_error = auto_error
 
-    async def __call__(self, request: Request) -> Optional[str]:
+    async def __call__(self, request: HTTPConnection) -> Optional[str]:
         api_key = request.cookies.get(self.model.name)
         return self.check_api_key(api_key, self.auto_error)
diff --git a/fastapi/security/http.py b/fastapi/security/http.py
index 9ab2df3c9..4a654f971 100644
--- a/fastapi/security/http.py
+++ b/fastapi/security/http.py
@@ -8,7 +8,7 @@ from fastapi.openapi.models import HTTPBearer as HTTPBearerModel
 from fastapi.security.base import SecurityBase
 from fastapi.security.utils import get_authorization_scheme_param
 from pydantic import BaseModel
-from starlette.requests import Request
+from starlette.requests import HTTPConnection
 from starlette.status import HTTP_401_UNAUTHORIZED, HTTP_403_FORBIDDEN
 from typing_extensions import Annotated, Doc
 
@@ -80,7 +80,7 @@ class HTTPBase(SecurityBase):
         self.auto_error = auto_error
 
     async def __call__(
-        self, request: Request
+        self, request: HTTPConnection
     ) -> Optional[HTTPAuthorizationCredentials]:
         authorization = request.headers.get("Authorization")
         scheme, credentials = get_authorization_scheme_param(authorization)
@@ -185,7 +185,7 @@ class HTTPBasic(HTTPBase):
         self.auto_error = auto_error
 
     async def __call__(  # type: ignore
-        self, request: Request
+        self, request: HTTPConnection
     ) -> Optional[HTTPBasicCredentials]:
         authorization = request.headers.get("Authorization")
         scheme, param = get_authorization_scheme_param(authorization)
@@ -299,7 +299,7 @@ class HTTPBearer(HTTPBase):
         self.auto_error = auto_error
 
     async def __call__(
-        self, request: Request
+        self, request: HTTPConnection
     ) -> Optional[HTTPAuthorizationCredentials]:
         authorization = request.headers.get("Authorization")
         scheme, credentials = get_authorization_scheme_param(authorization)
@@ -401,7 +401,7 @@ class HTTPDigest(HTTPBase):
         self.auto_error = auto_error
 
     async def __call__(
-        self, request: Request
+        self, request: HTTPConnection
     ) -> Optional[HTTPAuthorizationCredentials]:
         authorization = request.headers.get("Authorization")
         scheme, credentials = get_authorization_scheme_param(authorization)
diff --git a/fastapi/security/oauth2.py b/fastapi/security/oauth2.py
index 5ffad5986..7046eb935 100644
--- a/fastapi/security/oauth2.py
+++ b/fastapi/security/oauth2.py
@@ -6,7 +6,7 @@ from fastapi.openapi.models import OAuthFlows as OAuthFlowsModel
 from fastapi.param_functions import Form
 from fastapi.security.base import SecurityBase
 from fastapi.security.utils import get_authorization_scheme_param
-from starlette.requests import Request
+from starlette.requests import HTTPConnection
 from starlette.status import HTTP_401_UNAUTHORIZED, HTTP_403_FORBIDDEN
 
 # TODO: import from typing when deprecating Python 3.9
@@ -376,7 +376,7 @@ class OAuth2(SecurityBase):
         self.scheme_name = scheme_name or self.__class__.__name__
         self.auto_error = auto_error
 
-    async def __call__(self, request: Request) -> Optional[str]:
+    async def __call__(self, request: HTTPConnection) -> Optional[str]:
         authorization = request.headers.get("Authorization")
         if not authorization:
             if self.auto_error:
@@ -470,7 +470,7 @@ class OAuth2PasswordBearer(OAuth2):
             auto_error=auto_error,
         )
 
-    async def __call__(self, request: Request) -> Optional[str]:
+    async def __call__(self, request: HTTPConnection) -> Optional[str]:
         authorization = request.headers.get("Authorization")
         scheme, param = get_authorization_scheme_param(authorization)
         if not authorization or scheme.lower() != "bearer":
@@ -580,7 +580,7 @@ class OAuth2AuthorizationCodeBearer(OAuth2):
             auto_error=auto_error,
         )
 
-    async def __call__(self, request: Request) -> Optional[str]:
+    async def __call__(self, request: HTTPConnection) -> Optional[str]:
         authorization = request.headers.get("Authorization")
         scheme, param = get_authorization_scheme_param(authorization)
         if not authorization or scheme.lower() != "bearer":
diff --git a/fastapi/security/open_id_connect_url.py b/fastapi/security/open_id_connect_url.py
index c8cceb911..0e4643ef5 100644
--- a/fastapi/security/open_id_connect_url.py
+++ b/fastapi/security/open_id_connect_url.py
@@ -3,7 +3,7 @@ from typing import Optional
 from fastapi.openapi.models import OpenIdConnect as OpenIdConnectModel
 from fastapi.security.base import SecurityBase
 from starlette.exceptions import HTTPException
-from starlette.requests import Request
+from starlette.requests import HTTPConnection
 from starlette.status import HTTP_403_FORBIDDEN
 from typing_extensions import Annotated, Doc
 
@@ -72,7 +72,7 @@ class OpenIdConnect(SecurityBase):
         self.scheme_name = scheme_name or self.__class__.__name__
         self.auto_error = auto_error
 
-    async def __call__(self, request: Request) -> Optional[str]:
+    async def __call__(self, request: HTTPConnection) -> Optional[str]:
         authorization = request.headers.get("Authorization")
         if not authorization:
             if self.auto_error:
diff --git a/tests/test_security_http_base_optional.py b/tests/test_security_http_base_optional.py
index dd4d76843..4da9e82bc 100644
--- a/tests/test_security_http_base_optional.py
+++ b/tests/test_security_http_base_optional.py
@@ -1,6 +1,6 @@
 from typing import Optional
 
-from fastapi import FastAPI, Security
+from fastapi import FastAPI, Security, WebSocket
 from fastapi.security.http import HTTPAuthorizationCredentials, HTTPBase
 from fastapi.testclient import TestClient
 
@@ -18,6 +18,19 @@ def read_current_user(
     return {"scheme": credentials.scheme, "credentials": credentials.credentials}
 
 
+@app.websocket("/users/timeline")
+async def read_user_timeline(
+    websocket: WebSocket,
+    credentials: Optional[HTTPAuthorizationCredentials] = Security(security),
+):
+    await websocket.accept()
+    await websocket.send_json(
+        {"scheme": credentials.scheme, "credentials": credentials.credentials}
+        if credentials
+        else {"msg": "Create an account first"}
+    )
+
+
 client = TestClient(app)
 
 
@@ -33,6 +46,20 @@ def test_security_http_base_no_credentials():
     assert response.json() == {"msg": "Create an account first"}
 
 
+def test_security_http_base_with_ws():
+    with client.websocket_connect(
+        "/users/timeline", headers={"Authorization": "Other foobar"}
+    ) as websocket:
+        data = websocket.receive_json()
+        assert data == {"scheme": "Other", "credentials": "foobar"}
+
+
+def test_security_http_base_with_ws_no_credentials():
+    with client.websocket_connect("/users/timeline") as websocket:
+        data = websocket.receive_json()
+        assert data == {"msg": "Create an account first"}
+
+
 def test_openapi_schema():
     response = client.get("/openapi.json")
     assert response.status_code == 200, response.text