diff --git a/python_modules/libraries/dagster-aws/dagster_aws/pipes.py b/python_modules/libraries/dagster-aws/dagster_aws/pipes.py
index 6bd7b35bcf6f3..8085df62e6da6 100644
--- a/python_modules/libraries/dagster-aws/dagster_aws/pipes.py
+++ b/python_modules/libraries/dagster-aws/dagster_aws/pipes.py
@@ -25,6 +25,7 @@
 from dagster import PipesClient
 from dagster._annotations import experimental
 from dagster._core.definitions.resource_annotation import TreatAsResourceParam
+from dagster._core.errors import DagsterExecutionInterruptedError
 from dagster._core.execution.context.compute import OpExecutionContext
 from dagster._core.pipes.client import (
     PipesClientCompletedInvocation,
@@ -350,9 +351,10 @@ class PipesGlueClient(PipesClient, TreatAsResourceParam):
     Args:
         context_injector (Optional[PipesContextInjector]): A context injector to use to inject
             context into the Glue job, for example, :py:class:`PipesGlueContextInjector`.
-        message_reader (Optional[PipesMessageReader]): A message reader to use to read messages
+        message_reader (Optional[PipesGlueMessageReader]): A message reader to use to read messages
             from the glue job run. Defaults to :py:class:`PipesGlueLogsMessageReader`.
         client (Optional[boto3.client]): The boto Glue client used to launch the Glue job
+        forward_termination (bool): Whether to cancel the Glue job run when the Dagster process receives a termination signal.
     """
 
     def __init__(
@@ -360,10 +362,12 @@ def __init__(
         context_injector: PipesContextInjector,
         message_reader: Optional[PipesMessageReader] = None,
         client: Optional[boto3.client] = None,
+        forward_termination: bool = False,
     ):
         self._client = client or boto3.client("glue")
         self._context_injector = context_injector
-        self._message_reader = message_reader or PipesGlueLogsMessageReader()
+        self._message_reader = message_reader or PipesCloudWatchMessageReader()
+        self.forward_termination = check.bool_param(forward_termination, "forward_termination")
 
     @classmethod
     def _is_dagster_maintained(cls) -> bool:
@@ -457,7 +461,12 @@ def run(
             log_group = response["JobRun"]["LogGroupName"]
             context.log.info(f"Started AWS Glue job {job_name} run: {run_id}")
 
-            response = self._wait_for_job_run_completion(job_name, run_id)
+            try:
+                response = self._wait_for_job_run_completion(job_name, run_id)
+            except DagsterExecutionInterruptedError:
+                if self.forward_termination:
+                    self._terminate_job_run(context=context, job_name=job_name, run_id=run_id)
+                raise
 
             if response["JobRun"]["JobRunState"] == "FAILED":
                 raise RuntimeError(
@@ -467,9 +476,7 @@ def run(
                 context.log.info(f"Glue job {job_name} run {run_id} completed successfully")
 
             if isinstance(self._message_reader, PipesCloudWatchMessageReader):
-                # TODO: consume messages in real-time via a background thread
-                # so we don't have to wait for the job run to complete 
-                # before receiving any logs 
+                # TODO: receive messages from a background thread in real-time
                 self._message_reader.consume_cloudwatch_logs(
                     f"{log_group}/output", run_id, start_time=int(start_timestamp)
                 )
@@ -482,3 +489,17 @@ def _wait_for_job_run_completion(self, job_name: str, run_id: str) -> Dict[str,
             if response["JobRun"]["JobRunState"] in ["FAILED", "SUCCEEDED"]:
                 return response
             time.sleep(5)
+
+    def _terminate_job_run(self, context: OpExecutionContext, job_name: str, run_id: str):
+        """Creates a handler which will gracefully stop the Run in case of external termination.
+        It will stop the Glue job before doing so.
+        """
+        context.log.warning(f"[pipes] execution interrupted, stopping Glue job run {run_id}...")
+        response = self._client.batch_stop_job_run(JobName=job_name, JobRunIds=[run_id])
+        runs = response["SuccessfulSubmissions"]
+        if len(runs) > 0:
+            context.log.warning(f"Successfully stopped Glue job run {run_id}.")
+        else:
+            context.log.warning(
+                f"Something went wrong during Glue job run termination: {response['errors']}"
+            )