diff --git a/task_sdk/src/airflow/sdk/execution_time/task_runner.py b/task_sdk/src/airflow/sdk/execution_time/task_runner.py
index f4b8292a88eec..410f6dadea6ca 100644
--- a/task_sdk/src/airflow/sdk/execution_time/task_runner.py
+++ b/task_sdk/src/airflow/sdk/execution_time/task_runner.py
@@ -178,7 +178,10 @@ def run(ti: RuntimeTaskInstance, log: Logger):
             trigger_timeout=timeout,
         )
     except AirflowSkipException:
-        ...
+        msg = TaskState(
+            state=TerminalTIState.SKIPPED,
+            end_date=datetime.now(tz=timezone.utc),
+        )
     except AirflowRescheduleException:
         ...
     except (AirflowFailException, AirflowSensorTimeout):
diff --git a/task_sdk/tests/dags/basic_skipped.py b/task_sdk/tests/dags/basic_skipped.py
new file mode 100644
index 0000000000000..c8fefd1baa8f8
--- /dev/null
+++ b/task_sdk/tests/dags/basic_skipped.py
@@ -0,0 +1,36 @@
+# Licensed to the Apache Software Foundation (ASF) under one
+# or more contributor license agreements.  See the NOTICE file
+# distributed with this work for additional information
+# regarding copyright ownership.  The ASF licenses this file
+# to you under the Apache License, Version 2.0 (the
+# "License"); you may not use this file except in compliance
+# with the License.  You may obtain a copy of the License at
+#
+#   http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing,
+# software distributed under the License is distributed on an
+# "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+# KIND, either express or implied.  See the License for the
+# specific language governing permissions and limitations
+# under the License.
+
+from __future__ import annotations
+
+from airflow.exceptions import AirflowSkipException
+from airflow.providers.standard.operators.python import PythonOperator
+from airflow.sdk.definitions.dag import dag
+
+
+@dag()
+def basic_skipped():
+    def skip_task():
+        raise AirflowSkipException("This task is being skipped intentionally.")
+
+    PythonOperator(
+        task_id="skip",
+        python_callable=skip_task,
+    )
+
+
+basic_skipped()
diff --git a/task_sdk/tests/execution_time/test_supervisor.py b/task_sdk/tests/execution_time/test_supervisor.py
index da2ea85589f59..e44b4942e13ff 100644
--- a/task_sdk/tests/execution_time/test_supervisor.py
+++ b/task_sdk/tests/execution_time/test_supervisor.py
@@ -46,11 +46,12 @@
     GetXCom,
     PutVariable,
     SetXCom,
+    TaskState,
     VariableResult,
     XComResult,
 )
 from airflow.sdk.execution_time.supervisor import WatchedSubprocess, supervise
-from airflow.utils import timezone as tz
+from airflow.utils import timezone, timezone as tz
 
 from task_sdk.tests.api.test_client import make_client
 
@@ -848,6 +849,14 @@ def watched_subprocess(self, mocker):
                 {"ok": True},
                 id="set_xcom_with_map_index",
             ),
+            pytest.param(
+                TaskState(state=TerminalTIState.SKIPPED, end_date=timezone.parse("2024-10-31T12:00:00Z")),
+                b"",
+                "",
+                (),
+                "",
+                id="patch_task_instance_to_skipped",
+            ),
         ],
     )
     def test_handle_requests(
@@ -883,7 +892,8 @@ def test_handle_requests(
         generator.send(msg)
 
         # Verify the correct client method was called
-        mock_client_method.assert_called_once_with(*method_arg)
+        if client_attr_path:
+            mock_client_method.assert_called_once_with(*method_arg)
 
         # Verify the response was added to the buffer
         assert watched_subprocess.stdin.getvalue() == expected_buffer
diff --git a/task_sdk/tests/execution_time/test_task_runner.py b/task_sdk/tests/execution_time/test_task_runner.py
index 5cf681cd67051..ac834f74aa6dc 100644
--- a/task_sdk/tests/execution_time/test_task_runner.py
+++ b/task_sdk/tests/execution_time/test_task_runner.py
@@ -94,7 +94,6 @@ def test_run_basic(test_dags_dir: Path, time_machine):
     with mock.patch(
         "airflow.sdk.execution_time.task_runner.SUPERVISOR_COMMS", create=True
     ) as mock_supervisor_comms:
-        mock_supervisor_comms.send_request = mock.Mock()
         run(ti, log=mock.MagicMock())
 
         mock_supervisor_comms.send_request.assert_called_once_with(
@@ -137,3 +136,26 @@ def test_run_deferred_basic(test_dags_dir: Path, time_machine):
 
         # send_request will only be called when the TaskDeferred exception is raised
         mock_supervisor_comms.send_request.assert_called_once_with(msg=expected_defer_task, log=mock.ANY)
+
+
+def test_run_basic_skipped(test_dags_dir: Path, time_machine):
+    """Test running a basic task that marks itself skipped."""
+    what = StartupDetails(
+        ti=TaskInstance(id=uuid7(), task_id="skip", dag_id="basic_skipped", run_id="c", try_number=1),
+        file=str(test_dags_dir / "basic_skipped.py"),
+        requests_fd=0,
+    )
+
+    ti = parse(what)
+
+    instant = timezone.datetime(2024, 12, 3, 10, 0)
+    time_machine.move_to(instant, tick=False)
+
+    with mock.patch(
+        "airflow.sdk.execution_time.task_runner.SUPERVISOR_COMMS", create=True
+    ) as mock_supervisor_comms:
+        run(ti, log=mock.MagicMock())
+
+        mock_supervisor_comms.send_request.assert_called_once_with(
+            msg=TaskState(state=TerminalTIState.SKIPPED, end_date=instant), log=mock.ANY
+        )