diff --git a/starlette/middleware/cors.py b/starlette/middleware/cors.py
index 36ba9f93f..cab1f9b23 100644
--- a/starlette/middleware/cors.py
+++ b/starlette/middleware/cors.py
@@ -162,10 +162,11 @@ async def send(self, message: Message, send: Send, request_headers: Headers) ->
         headers.update(self.simple_headers)
         origin = request_headers["Origin"]
         has_cookie = "cookie" in request_headers
+        has_authorization = "authorization" in request_headers
 
-        # If request includes any cookie headers, then we must respond
+        # If request includes any cookie headers or authorization header, then we must respond
         # with the specific origin instead of '*'.
-        if self.allow_all_origins and has_cookie:
+        if self.allow_all_origins and (has_cookie or has_authorization):
             self.allow_explicit_origin(headers, origin)
 
         # If we only allow specific origins, then we have to mirror back
diff --git a/tests/middleware/test_cors.py b/tests/middleware/test_cors.py
index cbee7d6e7..db7ccb864 100644
--- a/tests/middleware/test_cors.py
+++ b/tests/middleware/test_cors.py
@@ -52,7 +52,7 @@ def homepage(request: Request) -> PlainTextResponse:
     assert response.headers["access-control-expose-headers"] == "X-Status"
     assert response.headers["access-control-allow-credentials"] == "true"
 
-    # Test standard credentialed response
+    # Test standard credentialed response with cookies
     headers = {"Origin": "https://example.org", "Cookie": "star_cookie=sugar"}
     response = client.get("/", headers=headers)
     assert response.status_code == 200
@@ -61,6 +61,15 @@ def homepage(request: Request) -> PlainTextResponse:
     assert response.headers["access-control-expose-headers"] == "X-Status"
     assert response.headers["access-control-allow-credentials"] == "true"
 
+    # Test standard credentialed response with Authorization header
+    headers = {"Origin": "https://example.org", "Authorization": "Bearer token"}
+    response = client.get("/", headers=headers)
+    assert response.status_code == 200
+    assert response.text == "Homepage"
+    assert response.headers["access-control-allow-origin"] == "https://example.org"
+    assert response.headers["access-control-expose-headers"] == "X-Status"
+    assert response.headers["access-control-allow-credentials"] == "true"
+
     # Test non-CORS response
     response = client.get("/")
     assert response.status_code == 200
@@ -416,7 +425,7 @@ def homepage(request: Request) -> PlainTextResponse:
     )
     client = test_client_factory(app)
 
-    # Test credentialed request
+    # Test credentialed request with cookie
     headers = {"Origin": "https://example.org", "Cookie": "star_cookie=sugar"}
     response = client.get("/", headers=headers)
     assert response.status_code == 200
@@ -424,6 +433,14 @@ def homepage(request: Request) -> PlainTextResponse:
     assert response.headers["access-control-allow-origin"] == "https://example.org"
     assert "access-control-allow-credentials" not in response.headers
 
+    # Test credentialed request with Authorization header
+    headers = {"Origin": "https://example.org", "Authorization": "Bearer token"}
+    response = client.get("/", headers=headers)
+    assert response.status_code == 200
+    assert response.text == "Homepage"
+    assert response.headers["access-control-allow-origin"] == "https://example.org"
+    assert "access-control-allow-credentials" not in response.headers
+
 
 def test_cors_vary_header_defaults_to_origin(
     test_client_factory: TestClientFactory,
@@ -478,6 +495,11 @@ def homepage(request: Request) -> PlainTextResponse:
     assert response.status_code == 200
     assert response.headers["vary"] == "Accept-Encoding, Origin"
 
+    # Test with Authorization header
+    response = client.get("/", headers={"Authorization": "Bearer token", "Origin": "https://someplace.org"})
+    assert response.status_code == 200
+    assert response.headers["vary"] == "Accept-Encoding, Origin"
+
 
 def test_cors_vary_header_is_properly_set_when_allow_origins_is_not_wildcard(
     test_client_factory: TestClientFactory,