How do I assign a Team to a Task?

I added 2 organizations (one owner of storm and a client). I then added people to each organization and proceeded to create a team. After that I added a project for the client organization and proceeded to add a task to the project. However, I'm trying to assign the task to the team I created but it doesn't show up.

Only the person assigned to that client organization is displayed. I obviously don't want to assign a client to their own projects task...they are a client for a reason ;)

Any help is greatly appreciated. Thanks.