diff --git a/README.md b/README.md
index a899fcf..84bbe73 100644
--- a/README.md
+++ b/README.md
@@ -151,7 +151,7 @@ The context managers can be used the same way in both `flow` run contexts and `t
     ```
     For more information, visit the docs on [Waiting on Futures](https://docs.dask.org/en/stable/futures.html#waiting-on-futures).
 
-There is also an equivalent `async` version, namely `get_async_dask_client`.
+There is also an equivalent context manager for asynchronous tasks and flows: `get_async_dask_client`.
 
 ```python
 import asyncio
diff --git a/prefect_dask/utils.py b/prefect_dask/utils.py
index f3fbb06..39aaad2 100644
--- a/prefect_dask/utils.py
+++ b/prefect_dask/utils.py
@@ -61,7 +61,7 @@ def get_dask_client(
     to the full cluster. Therefore, it will attempt perform work within the
     worker itself serially, and potentially overwhelming the single worker.
 
-    For async, there is `get_async_dask_client`.
+    When in an async context, we recommend using `get_async_dask_client` instead.
 
     Args:
         timeout: Timeout after which to error out; has no effect in