diff --git a/src/mcp/shared/session.py b/src/mcp/shared/session.py
index 35a83fcf1..48334e1be 100644
--- a/src/mcp/shared/session.py
+++ b/src/mcp/shared/session.py
@@ -38,6 +38,8 @@
 SendResultT = TypeVar("SendResultT", ClientResult, ServerResult)
 SendNotificationT = TypeVar("SendNotificationT", ClientNotification, ServerNotification)
 ReceiveRequestT = TypeVar("ReceiveRequestT", ClientRequest, ServerRequest)
+
+logger = logging.getLogger(__name__)
 ReceiveResultT = TypeVar("ReceiveResultT", bound=BaseModel)
 ReceiveNotificationT = TypeVar("ReceiveNotificationT", ClientNotification, ServerNotification)
 
@@ -332,13 +334,16 @@ async def send_notification(
             message=JSONRPCMessage(jsonrpc_notification),
             metadata=ServerMessageMetadata(related_request_id=related_request_id) if related_request_id else None,
         )
-        await self._write_stream.send(session_message)
+        try:
+            await self._write_stream.send(session_message)
+        except (anyio.BrokenResourceError, anyio.ClosedResourceError):
+            logger.debug("Notification dropped - transport closed")
+            return
 
     async def _send_response(self, request_id: RequestId, response: SendResultT | ErrorData) -> None:
         if isinstance(response, ErrorData):
             jsonrpc_error = JSONRPCError(jsonrpc="2.0", id=request_id, error=response)
             session_message = SessionMessage(message=JSONRPCMessage(jsonrpc_error))
-            await self._write_stream.send(session_message)
         else:
             jsonrpc_response = JSONRPCResponse(
                 jsonrpc="2.0",
@@ -346,7 +351,12 @@ async def _send_response(self, request_id: RequestId, response: SendResultT | Er
                 result=response.model_dump(by_alias=True, mode="json", exclude_none=True),
             )
             session_message = SessionMessage(message=JSONRPCMessage(jsonrpc_response))
+
+        try:
             await self._write_stream.send(session_message)
+        except (anyio.BrokenResourceError, anyio.ClosedResourceError):
+            logger.debug("Response for %s dropped - transport closed", request_id)
+            return
 
     async def _receive_loop(self) -> None:
         async with (
diff --git a/tests/server/test_lowlevel_exception_handling.py b/tests/server/test_lowlevel_exception_handling.py
index 5d4c3347f..c3081960a 100644
--- a/tests/server/test_lowlevel_exception_handling.py
+++ b/tests/server/test_lowlevel_exception_handling.py
@@ -1,5 +1,6 @@
 from unittest.mock import AsyncMock, Mock
 
+import anyio
 import pytest
 
 import mcp.types as types
@@ -72,3 +73,24 @@ async def test_normal_message_handling_not_affected():
 
     # Verify _handle_request was called
     server._handle_request.assert_called_once()
+
+
+@pytest.mark.anyio
+async def test_handle_request_drops_response_when_transport_is_closed():
+    """Closed write streams during respond should be treated as expected drops."""
+    server = Server("test-server")
+    session = Mock(spec=ServerSession)
+
+    responder = Mock(spec=RequestResponder)
+    responder.request_id = 1
+    responder.respond = AsyncMock(side_effect=anyio.ClosedResourceError())
+
+    await server._handle_request(
+        responder,
+        types.PingRequest(method="ping"),
+        session,
+        {},
+        raise_exceptions=False,
+    )
+
+    responder.respond.assert_called_once()
diff --git a/tests/server/test_session.py b/tests/server/test_session.py
index 34f9c6e28..5caadd88c 100644
--- a/tests/server/test_session.py
+++ b/tests/server/test_session.py
@@ -1,4 +1,4 @@
-from typing import Any
+from typing import Any, cast
 
 import anyio
 import pytest
@@ -11,7 +11,7 @@
 from mcp.server.session import ServerSession
 from mcp.shared.exceptions import McpError
 from mcp.shared.message import SessionMessage
-from mcp.shared.session import RequestResponder
+from mcp.shared.session import BaseSession, RequestResponder
 from mcp.types import (
     ClientNotification,
     Completion,
@@ -220,6 +220,68 @@ async def mock_client():
     assert received_protocol_version == "2024-11-05"
 
 
+class _ClosedWriteStream:
+    async def send(self, item: SessionMessage) -> None:
+        raise anyio.ClosedResourceError
+
+
+class _OpenWriteStream:
+    def __init__(self):
+        self.items: list[SessionMessage] = []
+
+    async def send(self, item: SessionMessage) -> None:
+        self.items.append(item)
+
+
+class _FakeResult:
+    def __init__(self, payload: dict[str, Any]):
+        self._payload = payload
+
+    def model_dump(self, **kwargs: Any) -> dict[str, Any]:
+        return dict(self._payload)
+
+
+class _FakeNotification:
+    def __init__(self, payload: dict[str, Any]):
+        self._payload = payload
+
+    def model_dump(self, **kwargs: Any) -> dict[str, Any]:
+        return dict(self._payload)
+
+
+@pytest.mark.anyio
+async def test_base_session_send_response_ignores_closed_write_stream():
+    session = cast(Any, object.__new__(BaseSession))
+    session._write_stream = _ClosedWriteStream()
+
+    await cast(Any, BaseSession)._send_response(session, 1, _FakeResult({"ok": True}))
+
+
+@pytest.mark.anyio
+async def test_base_session_send_notification_ignores_closed_write_stream():
+    session = cast(Any, object.__new__(BaseSession))
+    session._write_stream = _ClosedWriteStream()
+
+    await cast(Any, BaseSession).send_notification(
+        session,
+        _FakeNotification({"method": "notifications/progress", "params": {"progress": 1}}),
+    )
+
+
+@pytest.mark.anyio
+async def test_base_session_send_notification_still_writes_when_open():
+    open_stream = _OpenWriteStream()
+    session = cast(Any, object.__new__(BaseSession))
+    session._write_stream = open_stream
+
+    await cast(Any, BaseSession).send_notification(
+        session,
+        _FakeNotification({"method": "notifications/progress", "params": {"progress": 1}}),
+    )
+
+    assert len(open_stream.items) == 1
+
+
 @pytest.mark.anyio
 async def test_ping_request_before_initialization():
     """Test that ping requests are allowed before initialization is complete."""