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 9e7bb782518fc..3a9f1a705af04 100644
--- a/task-sdk/src/airflow/sdk/execution_time/task_runner.py
+++ b/task-sdk/src/airflow/sdk/execution_time/task_runner.py
@@ -40,7 +40,7 @@
 from airflow.configuration import conf
 from airflow.dag_processing.bundles.base import BaseDagBundle, BundleVersionLock
 from airflow.dag_processing.bundles.manager import DagBundlesManager
-from airflow.exceptions import AirflowInactiveAssetInInletOrOutletException
+from airflow.exceptions import AirflowInactiveAssetInInletOrOutletException, AirflowTaskTimeout
 from airflow.listeners.listener import get_listener_manager
 from airflow.sdk.api.client import get_hostname, getuser
 from airflow.sdk.api.datamodels._generated import (
@@ -869,7 +869,6 @@ def run(
         AirflowSensorTimeout,
         AirflowSkipException,
         AirflowTaskTerminated,
-        AirflowTaskTimeout,
         DagRunTriggerException,
         DownstreamTasksSkipped,
         TaskDeferred,
@@ -1157,8 +1156,6 @@ def _send_task_error_email(to: Iterable[str], ti: RuntimeTaskInstance, exception
 
 def _execute_task(context: Context, ti: RuntimeTaskInstance, log: Logger):
     """Execute Task (optionally with a Timeout) and push Xcom results."""
-    from airflow.exceptions import AirflowTaskTimeout
-
     task = ti.task
     execute = task.execute
 
@@ -1187,9 +1184,9 @@ def _execute_task(context: Context, ti: RuntimeTaskInstance, log: Logger):
     _run_task_state_change_callbacks(task, "on_execute_callback", context, log)
 
     if task.execution_timeout:
-        # TODO: handle timeout in case of deferral
-        from airflow.utils.timeout import timeout
+        from airflow.sdk.execution_time.timeout import timeout
 
+        # TODO: handle timeout in case of deferral
         timeout_seconds = task.execution_timeout.total_seconds()
         try:
             # It's possible we're already timed out, so fast-fail if true
diff --git a/task-sdk/src/airflow/sdk/execution_time/timeout.py b/task-sdk/src/airflow/sdk/execution_time/timeout.py
new file mode 100644
index 0000000000000..fe4a0e8bd8c52
--- /dev/null
+++ b/task-sdk/src/airflow/sdk/execution_time/timeout.py
@@ -0,0 +1,59 @@
+# 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
+
+import os
+
+import structlog
+
+from airflow.exceptions import AirflowTaskTimeout
+
+
+class TimeoutPosix:
+    """POSIX Timeout version: To be used in a ``with`` block and timeout its content."""
+
+    def __init__(self, seconds=1, error_message="Timeout"):
+        super().__init__()
+        self.seconds = seconds
+        self.error_message = error_message + ", PID: " + str(os.getpid())
+        self.log = structlog.get_logger(logger_name="task")
+
+    def handle_timeout(self, signum, frame):
+        """Log information and raises AirflowTaskTimeout."""
+        self.log.error("Process timed out", pid=os.getpid())
+        raise AirflowTaskTimeout(self.error_message)
+
+    def __enter__(self):
+        import signal
+
+        try:
+            signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.setitimer(signal.ITIMER_REAL, self.seconds)
+        except ValueError:
+            self.log.warning("timeout can't be used in the current context", exc_info=True)
+        return self
+
+    def __exit__(self, type_, value, traceback):
+        import signal
+
+        try:
+            signal.setitimer(signal.ITIMER_REAL, 0)
+        except ValueError:
+            self.log.warning("timeout can't be used in the current context", exc_info=True)
+
+
+timeout = TimeoutPosix