diff --git a/lifetimes.cabal b/lifetimes.cabal
--- a/lifetimes.cabal
+++ b/lifetimes.cabal
@@ -1,6 +1,6 @@
 cabal-version:       2.2
 name:                lifetimes
-version:             0.2.0.0
+version:             0.2.0.1
 synopsis:            Flexible manual resource management
 description:
   The lifetimes package provides support for manual resource management,
diff --git a/src/Lifetimes/Async.hs b/src/Lifetimes/Async.hs
--- a/src/Lifetimes/Async.hs
+++ b/src/Lifetimes/Async.hs
@@ -2,11 +2,11 @@
 -- Description: Lifteimes integration for the async package.
 module Lifetimes.Async (acquireAsync) where
 
-import Control.Concurrent.Async (Async, async, cancel, wait)
+import Control.Concurrent.Async (Async, async, cancel, waitCatch)
 import Lifetimes
 import Zhp
 
 -- | Spawn an async task. When it is time to reclaim the resource, 'cancel'
--- will be called.
+-- will be called, and the task will be waited on.
 acquireAsync :: IO a -> Acquire (Async a)
-acquireAsync io = mkAcquire (async io) cancel
+acquireAsync io = mkAcquire (async io) (\a -> cancel a <* waitCatch a)