Your staffing agency has a good relationship with the company or you wouldn’t be there. Use this to your advantage and let the staffing agency know you are interested in a full-time position at the organization you are working with. Although you might also be tempted to let your direct manager know your intentions, this has the potential to backfire. You must walk a fine line between showing your interest in the company and frequently asking for a permanent position - instead have your staffing agency be a strong advocate for you.