diff --git a/src/mcp/server/streamable_http.py b/src/mcp/server/streamable_http.py
index d316345c7..1fb4fc1f0 100644
--- a/src/mcp/server/streamable_http.py
+++ b/src/mcp/server/streamable_http.py
@@ -672,6 +672,26 @@ async def _handle_get_request(self, request: Request, send: Send) -> None:
             await response(request.scope, request.receive, send)
             return
 
+        # Per the Streamable HTTP spec, a GET that the server will not serve as a
+        # standalone SSE stream MUST be answered with 405 Method Not Allowed:
+        #   "The server MUST either return Content-Type: text/event-stream in
+        #    response to this HTTP GET, or else return HTTP 405 Method Not Allowed,
+        #    indicating that the server does not offer an SSE stream at this endpoint."
+        # Spec-compliant clients probe with a pre-`initialize` GET and treat 405 as
+        # the graceful "no SSE, fall through to POST" signal. In stateful mode a GET
+        # without an established session can never open an SSE stream, so falling
+        # through to session validation (which returns 400 "Missing session ID")
+        # makes that probe impossible to satisfy. Return the spec-mandated 405 here.
+        if self.mcp_session_id and not self._get_session_id(request):
+            response = self._create_error_response(
+                "Method Not Allowed: No standalone SSE stream is available without an active session; "
+                "POST to initialize a session first",
+                HTTPStatus.METHOD_NOT_ALLOWED,
+                headers={"Allow": "POST"},
+            )
+            await response(request.scope, request.receive, send)
+            return
+
         if not await self._validate_request_headers(request, send):
             return
 
diff --git a/tests/server/test_streamable_http_security.py b/tests/server/test_streamable_http_security.py
index e83289ee3..678308708 100644
--- a/tests/server/test_streamable_http_security.py
+++ b/tests/server/test_streamable_http_security.py
@@ -124,7 +124,8 @@ async def test_streamable_http_security_get_request() -> None:
         assert response.text == "Invalid Host header"
 
         response = await client.get("/", headers={"Accept": "text/event-stream", "Host": "127.0.0.1"})
-        # An allowed host passes security and fails on session validation instead.
-        assert response.status_code == 400
+        # An allowed host passes security; a session-less GET the server cannot serve
+        # as an SSE stream then gets the spec-mandated 405 (not 400).
+        assert response.status_code == 405
         body = response.json()
-        assert "Missing session ID" in body["error"]["message"]
+        assert "Method Not Allowed" in body["error"]["message"]
diff --git a/tests/shared/test_streamable_http.py b/tests/shared/test_streamable_http.py
index d7eeccdfd..e1c7d0c3b 100644
--- a/tests/shared/test_streamable_http.py
+++ b/tests/shared/test_streamable_http.py
@@ -854,6 +854,26 @@ async def test_get_validation(basic_app: Starlette) -> None:
         assert "Not Acceptable" in response.text
 
 
+@pytest.mark.anyio
+async def test_get_without_session_returns_405(basic_app: Starlette) -> None:
+    """A pre-`initialize` GET that the server won't serve as SSE returns 405, not 400.
+
+    Per the Streamable HTTP spec the server MUST answer such a GET with 405 Method
+    Not Allowed. Spec-compliant clients probe with a session-less GET before
+    `initialize` to ask "do you offer a standalone SSE stream?" and treat only 405
+    as the graceful "no SSE, fall through to POST" signal. Returning 400 (missing
+    session ID) makes that probe impossible to satisfy.
+    """
+    async with make_client(basic_app) as client:
+        response = await client.get(
+            "/mcp",
+            headers={"Accept": "text/event-stream"},
+        )
+        assert response.status_code == 405
+        assert "Method Not Allowed" in response.text
+        assert response.headers.get("Allow") == "POST"
+
+
 # Client-specific fixtures
 @pytest.fixture
 async def initialized_client_session(basic_app: Starlette) -> AsyncIterator[ClientSession]: