diff --git a/integration-test/bundle_utils_test.go b/integration-test/bundle_utils_test.go
index 3ed4232..b9d6be8 100644
--- a/integration-test/bundle_utils_test.go
+++ b/integration-test/bundle_utils_test.go
@@ -102,6 +102,14 @@ func CreateBundleWithFilter(source, name string, args []string, filter func(spec
 	return nil
 }
 
+func GetBundle(name string) *Bundle {
+	bundle, ok := bundleMap[name]
+	if !ok {
+		return nil
+	}
+	return &bundle
+}
+
 func CreateBusyboxBundle(name string, args []string) error {
 	return CreateBundleWithFilter("busybox", name, args, nil)
 }
diff --git a/integration-test/container_utils_test.go b/integration-test/container_utils_test.go
index 4dff21b..95bc2fd 100644
--- a/integration-test/container_utils_test.go
+++ b/integration-test/container_utils_test.go
@@ -180,13 +180,13 @@ func NewContainerProcess(cs *ContainerdSuite, bundle *Bundle, cid, pid string) (
 	return c, nil
 }
 
-func (cs *ContainerdSuite) StartContainer(id, bundleName string) (c *containerProcess, err error) {
-	bundle, ok := bundleMap[bundleName]
-	if !ok {
+func (cs *ContainerdSuite) StartContainerWithEventFilter(id, bundleName string, filter func(*types.Event)) (c *containerProcess, err error) {
+	bundle := GetBundle(bundleName)
+	if bundle == nil {
 		return nil, fmt.Errorf("No such bundle '%s'", bundleName)
 	}
 
-	c, err = NewContainerProcess(cs, &bundle, id, "init")
+	c, err = NewContainerProcess(cs, bundle, id, "init")
 	if err != nil {
 		return nil, err
 	}
@@ -199,9 +199,13 @@ func (cs *ContainerdSuite) StartContainer(id, bundleName string) (c *containerPr
 		Stderr:     filepath.Join(cs.cwd, c.io.stderr),
 	}
 
-	cs.SetContainerEventFilter(id, func(event *types.Event) {
-		c.eventsCh <- event
-	})
+	if filter == nil {
+		filter = func(event *types.Event) {
+			c.eventsCh <- event
+		}
+	}
+
+	cs.SetContainerEventFilter(id, filter)
 
 	if _, err := cs.grpcClient.CreateContainer(context.Background(), r); err != nil {
 		c.Cleanup()
@@ -211,6 +215,10 @@ func (cs *ContainerdSuite) StartContainer(id, bundleName string) (c *containerPr
 	return c, nil
 }
 
+func (cs *ContainerdSuite) StartContainer(id, bundleName string) (c *containerProcess, err error) {
+	return cs.StartContainerWithEventFilter(id, bundleName, nil)
+}
+
 func (cs *ContainerdSuite) RunContainer(id, bundleName string) (c *containerProcess, err error) {
 	c, err = cs.StartContainer(id, bundleName)
 	if err != nil {
diff --git a/integration-test/start_test.go b/integration-test/start_test.go
index db4f81f..5972a7d 100644
--- a/integration-test/start_test.go
+++ b/integration-test/start_test.go
@@ -96,3 +96,30 @@ func (cs *ContainerdSuite) TestStartBusyboxLsEvents(t *check.C) {
 		}
 	}
 }
+
+func (cs *ContainerdSuite) TestStartBusyboxSleep(t *check.C) {
+	if err := CreateBusyboxBundle("busybox-sleep-5", []string{"sleep", "5"}); err != nil {
+		t.Fatal(err)
+	}
+
+	ch := make(chan interface{})
+	filter := func(e *types.Event) {
+		if e.Type == "exit" && e.Pid == "init" {
+			ch <- nil
+		}
+	}
+
+	start := time.Now()
+	_, err := cs.StartContainerWithEventFilter("sleep5", "busybox-sleep-5", filter)
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	// We add a generous 20% marge of error
+	select {
+	case <-ch:
+		t.Assert(uint64(time.Now().Sub(start)), checker.LessOrEqualThan, uint64(6*time.Second))
+	case <-time.After(6 * time.Second):
+		t.Fatal("Container took more than 6 seconds to exit")
+	}
+}