diff --git a/src/ophyd_async/core/_status.py b/src/ophyd_async/core/_status.py
index 93b988840..028a7324a 100644
--- a/src/ophyd_async/core/_status.py
+++ b/src/ophyd_async/core/_status.py
@@ -13,6 +13,7 @@
 
 from bluesky.protocols import Status
 
+from ._device import Device
 from ._protocol import Watcher
 from ._utils import Callback, P, T, WatcherUpdate
 
@@ -23,13 +24,14 @@
 class AsyncStatusBase(Status):
     """Convert asyncio awaitable to bluesky Status interface"""
 
-    def __init__(self, awaitable: Coroutine | asyncio.Task):
+    def __init__(self, awaitable: Coroutine | asyncio.Task, name: str | None = None):
         if isinstance(awaitable, asyncio.Task):
             self.task = awaitable
         else:
             self.task = asyncio.create_task(awaitable)
         self.task.add_done_callback(self._run_callbacks)
         self._callbacks: list[Callback[Status]] = []
+        self._name = name
 
     def __await__(self):
         return self.task.__await__()
@@ -76,21 +78,27 @@ def __repr__(self) -> str:
                 status = "done"
         else:
             status = "pending"
-        return f"<{type(self).__name__}, task: {self.task.get_coro()}, {status}>"
+        device_str = f"device: {self._name}, " if self._name else ""
+        return (
+            f"<{type(self).__name__}, {device_str}"
+            f"task: {self.task.get_coro()}, {status}>"
+        )
 
     __str__ = __repr__
 
 
 class AsyncStatus(AsyncStatusBase):
-    """Convert asyncio awaitable to bluesky Status interface"""
-
     @classmethod
     def wrap(cls: type[AS], f: Callable[P, Coroutine]) -> Callable[P, AS]:
         """Wrap an async function in an AsyncStatus."""
 
         @functools.wraps(f)
         def wrap_f(*args: P.args, **kwargs: P.kwargs) -> AS:
-            return cls(f(*args, **kwargs))
+            if args and isinstance(args[0], Device):
+                name = args[0].name
+            else:
+                name = None
+            return cls(f(*args, **kwargs), name=name)
 
         # type is actually functools._Wrapped[P, Awaitable, P, AS]
         # but functools._Wrapped is not necessarily available
@@ -100,11 +108,13 @@ def wrap_f(*args: P.args, **kwargs: P.kwargs) -> AS:
 class WatchableAsyncStatus(AsyncStatusBase, Generic[T]):
     """Convert AsyncIterator of WatcherUpdates to bluesky Status interface."""
 
-    def __init__(self, iterator: AsyncIterator[WatcherUpdate[T]]):
+    def __init__(
+        self, iterator: AsyncIterator[WatcherUpdate[T]], name: str | None = None
+    ):
         self._watchers: list[Watcher] = []
         self._start = time.monotonic()
         self._last_update: WatcherUpdate[T] | None = None
-        super().__init__(self._notify_watchers_from(iterator))
+        super().__init__(self._notify_watchers_from(iterator), name)
 
     async def _notify_watchers_from(self, iterator: AsyncIterator[WatcherUpdate[T]]):
         async for update in iterator:
@@ -136,7 +146,11 @@ def wrap(
 
         @functools.wraps(f)
         def wrap_f(*args: P.args, **kwargs: P.kwargs) -> WAS:
-            return cls(f(*args, **kwargs))
+            if args and isinstance(args[0], Device):
+                name = args[0].name
+            else:
+                name = None
+            return cls(f(*args, **kwargs), name=name)
 
         return cast(Callable[P, WAS], wrap_f)
 
diff --git a/tests/core/test_status.py b/tests/core/test_status.py
index 263a39dca..109dfd4b9 100644
--- a/tests/core/test_status.py
+++ b/tests/core/test_status.py
@@ -118,16 +118,14 @@ class FailingMovable(Movable, Device):
     def _fail(self):
         raise ValueError("This doesn't work")
 
-    async def _set(self, value):
+    @AsyncStatus.wrap
+    async def set(self, value):
         if value:
-            self._fail()
-
-    def set(self, value) -> AsyncStatus:
-        return AsyncStatus(self._set(value))
+            return self._fail()
 
 
 async def test_status_propogates_traceback_under_RE(RE) -> None:
-    expected_call_stack = ["_set", "_fail"]
+    expected_call_stack = ["set", "_fail"]
     d = FailingMovable()
     with pytest.raises(FailedStatus) as ctx:
         RE(bps.mv(d, 3))
@@ -203,3 +201,14 @@ async def test_completed_status():
     with pytest.raises(ValueError):
         await completed_status(ValueError())
     await completed_status()
+
+
+async def test_device_name_in_failure_message_AsyncStatus_wrap(RE):
+    device_name = "MyFailingMovable"
+    d = FailingMovable(name=device_name)
+    with pytest.raises(FailedStatus) as ctx:
+        RE(bps.mv(d, 3))
+    # FailingMovable.set is decorated with @AsyncStatus.wrap
+    # undecorated methods will not print the device name
+    status: AsyncStatus = ctx.value.args[0]
+    assert f"device: {device_name}" in repr(status)