diff --git a/docs/howto/advanced/cancellation.md b/docs/howto/advanced/cancellation.md
index d5d924bb7..4726294ee 100644
--- a/docs/howto/advanced/cancellation.md
+++ b/docs/howto/advanced/cancellation.md
@@ -37,9 +37,19 @@ app.job_manager.cancel_job_by_id(33, abort=True)
 await app.job_manager.cancel_job_by_id_async(33, abort=True)
 ```
 
+Behind the scenes, the worker receives a Postgres notification every time a job is requested to abort, (unless `listen_notify=False`).
+
+The worker also polls (respecting `polling_interval`) the database for abortion requests, as long as the worker is running at least one job (in the absence of running job, there is nothing to abort).
+
+:::{note}
+When a job is requested to abort and that job fails, it will not be retried (regardless of the retry strategy).
+:::
+
 ## Handle an abortion request inside the task
 
-In our task, we can check (for example, periodically) if the task should be
+### Sync tasks
+
+In a sync task, we can check (for example, periodically) if the task should be
 aborted. If we want to respect that abortion request (we don't have to), we raise a
 `JobAborted` error. Any message passed to `JobAborted` (e.g.
 `raise JobAborted("custom message")`) will end up in the logs.
@@ -53,10 +63,31 @@ def my_task(context):
     do_something_expensive()
 ```
 
-Behind the scenes, the worker receives a Postgres notification every time a job is requested to abort, (unless `listen_notify=False`).
+### Async tasks
 
-The worker also polls (respecting `polling_interval`) the database for abortion requests, as long as the worker is running at least one job (in the absence of running job, there is nothing to abort).
+For async tasks (coroutines), they are cancelled via the [asyncio cancellation](https://docs.python.org/3/library/asyncio-task.html#task-cancellation) mechasnism.
 
-:::{note}
-When a job is requested to abort and that job fails, it will not be retried (regardless of the retry strategy).
-:::
+```python
+@app.task()
+async def my_task():
+  do_something_synchronous()
+  # if the job is aborted while it waits for do_something to complete, asyncio.CancelledError will be raised here
+  await do_something()
+```
+
+If you want to have some custom behavior at cancellation time, use a combination of [shielding](https://docs.python.org/3/library/asyncio-task.html#shielding-from-cancellation) and capturing `except asyncio.CancelledError`.
+
+```python
+@app.task()
+async def my_task():
+    try:
+      important_task = asyncio.create_task(something_important())
+      # shield something_important from being cancelled
+      await asyncio.shield(important_task)
+    except asyncio.CancelledError:
+      # capture the error and waits for something important to complete
+      await important_task
+      # raise if the job should be marked as aborted, or swallow CancelledError if the job should be
+      # marked as suceeeded
+      raise
+```
diff --git a/procrastinate/worker.py b/procrastinate/worker.py
index 6c4fd2d86..52e700bbf 100644
--- a/procrastinate/worker.py
+++ b/procrastinate/worker.py
@@ -119,6 +119,7 @@ async def _persist_job_status(
         job: jobs.Job,
         status: jobs.Status,
         retry_decision: retry.RetryDecision | None,
+        context: job_context.JobContext,
     ):
         if retry_decision:
             await self.app.job_manager.retry_job(
@@ -138,6 +139,13 @@ async def _persist_job_status(
                 job=job, status=status, delete_job=delete_job
             )
 
+        self._job_ids_to_abort.discard(job.id)
+
+        self.logger.debug(
+            f"Acknowledged job completion {job.call_string}",
+            extra=self._log_extra(action="finish_task", context=context, status=status),
+        )
+
     def _log_job_outcome(
         self,
         status: jobs.Status,
@@ -257,18 +265,20 @@ async def ensure_async() -> Callable[..., Awaitable]:
                 job_retry=job_retry,
                 exc_info=exc_info,
             )
-            await self._persist_job_status(
-                job=job, status=status, retry_decision=retry_decision
-            )
-
-            self._job_ids_to_abort.discard(job.id)
 
-            self.logger.debug(
-                f"Acknowledged job completion {job.call_string}",
-                extra=self._log_extra(
-                    action="finish_task", context=context, status=status
-                ),
+            persist_job_status_task = asyncio.create_task(
+                self._persist_job_status(
+                    job=job,
+                    status=status,
+                    retry_decision=retry_decision,
+                    context=context,
+                )
             )
+            try:
+                await asyncio.shield(persist_job_status_task)
+            except asyncio.CancelledError:
+                await persist_job_status_task
+                raise
 
     async def _fetch_and_process_jobs(self):
         """Fetch and process jobs until there is no job left or asked to stop"""
@@ -372,8 +382,29 @@ async def _poll_jobs_to_abort(self):
 
     def _handle_abort_jobs_requested(self, job_ids: Iterable[int]):
         running_job_ids = {c.job.id for c in self._running_jobs.values() if c.job.id}
-        self._job_ids_to_abort |= set(job_ids)
-        self._job_ids_to_abort &= running_job_ids
+        new_job_ids_to_abort = (running_job_ids & set(job_ids)) - self._job_ids_to_abort
+
+        for process_job_task, context in self._running_jobs.items():
+            if context.job.id in new_job_ids_to_abort:
+                self._abort_job(process_job_task, context)
+
+    def _abort_job(
+        self, process_job_task: asyncio.Task, context: job_context.JobContext
+    ):
+        self._job_ids_to_abort.add(context.job.id)
+
+        log_message: str
+        if not context.task:
+            log_message = "Received a request to abort a job but the job has no associated task. No action to perform"
+        elif not asyncio.iscoroutinefunction(context.task.func):
+            log_message = "Received a request to abort a synchronous job. Job is responsible for aborting by checking context.should_abort"
+        else:
+            log_message = "Received a request to abort an asynchronous job. Cancelling asyncio task"
+            process_job_task.cancel()
+
+        self.logger.debug(
+            log_message, extra=self._log_extra(action="abort_job", context=context)
+        )
 
     async def _shutdown(self, side_tasks: list[asyncio.Task]):
         """
diff --git a/tests/acceptance/test_async.py b/tests/acceptance/test_async.py
index ce4c9109a..c854917d3 100644
--- a/tests/acceptance/test_async.py
+++ b/tests/acceptance/test_async.py
@@ -110,12 +110,9 @@ def example_task():
 
 @pytest.mark.parametrize("mode", ["listen", "poll"])
 async def test_abort_async_task(async_app: app_module.App, mode):
-    @async_app.task(queue="default", name="task1", pass_context=True)
-    async def task1(context):
-        while True:
-            await asyncio.sleep(0.02)
-            if context.should_abort():
-                raise JobAborted
+    @async_app.task(queue="default", name="task1")
+    async def task1():
+        await asyncio.sleep(0.5)
 
     job_id = await task1.defer_async()
 
diff --git a/tests/unit/test_worker.py b/tests/unit/test_worker.py
index 72a6101b3..f9913836c 100644
--- a/tests/unit/test_worker.py
+++ b/tests/unit/test_worker.py
@@ -5,6 +5,7 @@
 from typing import cast
 
 import pytest
+from pytest_mock import MockerFixture
 
 from procrastinate.app import App
 from procrastinate.exceptions import JobAborted
@@ -509,7 +510,7 @@ def task_func(a, b):
     assert "to retry" not in record.message
 
 
-async def test_run_job_aborted(app: App, worker, caplog):
+async def test_run_job_raising_job_aborted(app: App, worker, caplog):
     caplog.set_level("INFO")
 
     @app.task(queue="yay", name="task_func")
@@ -530,6 +531,73 @@ async def task_func():
     assert "Aborted" in record.message
 
 
+async def test_abort_async_job(app: App, worker):
+    @app.task(queue="yay", name="task_func")
+    async def task_func():
+        await asyncio.sleep(0.2)
+
+    job_id = await task_func.defer_async()
+
+    await start_worker(worker)
+    await app.job_manager.cancel_job_by_id_async(job_id, abort=True)
+    await asyncio.sleep(0.01)
+    status = await app.job_manager.get_job_status_async(job_id)
+    assert status == Status.ABORTED
+
+
+async def test_abort_async_job_while_finishing(app: App, worker, mocker: MockerFixture):
+    """
+    Tests that aborting a job after that job completes but before the job status is updated
+    does not prevent the job status from being updated
+    """
+    connector = cast(InMemoryConnector, app.connector)
+    original_finish_job_run = connector.finish_job_run
+
+    complete_finish_job_event = asyncio.Event()
+
+    async def delayed_finish_job_run(**arguments):
+        await complete_finish_job_event.wait()
+        return await original_finish_job_run(**arguments)
+
+    connector.finish_job_run = mocker.AsyncMock(name="finish_job_run")
+    connector.finish_job_run.side_effect = delayed_finish_job_run
+
+    @app.task(queue="yay", name="task_func")
+    async def task_func():
+        pass
+
+    job_id = await task_func.defer_async()
+
+    await start_worker(worker)
+    await app.job_manager.cancel_job_by_id_async(job_id, abort=True)
+    await asyncio.sleep(0.01)
+    complete_finish_job_event.set()
+    await asyncio.sleep(0.01)
+    status = await app.job_manager.get_job_status_async(job_id)
+    assert status == Status.SUCCEEDED
+
+
+async def test_abort_async_job_preventing_cancellation(app: App, worker):
+    """
+    Tests that an async job can prevent itself from being aborted
+    """
+
+    @app.task(queue="yay", name="task_func")
+    async def task_func():
+        try:
+            await asyncio.sleep(0.2)
+        except asyncio.CancelledError:
+            pass
+
+    job_id = await task_func.defer_async()
+
+    await start_worker(worker)
+    await app.job_manager.cancel_job_by_id_async(job_id, abort=True)
+    await asyncio.sleep(0.01)
+    status = await app.job_manager.get_job_status_async(job_id)
+    assert status == Status.SUCCEEDED
+
+
 @pytest.mark.parametrize(
     "worker",
     [