diff --git a/containeranalysis/apiv1/container_analysis_client.go b/containeranalysis/apiv1/container_analysis_client.go
index b2f2cb70938..a24433d5321 100644
--- a/containeranalysis/apiv1/container_analysis_client.go
+++ b/containeranalysis/apiv1/container_analysis_client.go
@@ -110,9 +110,6 @@ func NewClient(ctx context.Context, opts ...option.ClientOption) (*Client, error
 }
 
 // GetGrafeasClient returns a grafeas client connected to containeranalysis.
-//
-// Calling Close on either the grafeas or containeranalysis client will close
-// the shared connection in both.
 func (c *Client) GetGrafeasClient() *grafeas.Client {
 	return c.grafeasClient
 }
@@ -124,7 +121,10 @@ func (c *Client) Connection() *grpc.ClientConn {
 
 // Close closes the connection to the API service. The user should invoke this when
 // the client is no longer required.
+//
+// Calling Close will also close the underlying grafeas client.
 func (c *Client) Close() error {
+	c.grafeasClient.Close()
 	return c.connPool.Close()
 }