MIAMI (CBSMiami.com) – The Miami Dolphins are now beyond desperate at the quarterback position.

The Dolphins announced Tuesday that they have signed J.P. Losman and placed Sage Rosenfels on reserve/non-football illness list.

READ MORE: Disaster Preparedness Sales Tax Holiday Starts This Weekend

Losman was a first-round pick of the Buffalo Bills in 2004. Since then, he’s failed to live up to expectations and has thrown exactly one pass, which was incomplete, in the past two NFL seasons.

READ MORE: Going To The Miami Beach Air And Sea Show This Memorial Day Weekend? Here's What You Can Expect

Losman has thrown more interceptions (34) than he has touchdowns (34) in his career. The former Bill has also been sacked 103 in 43 games.

The former first round pick spent five seasons in Buffalo, one in Oakland, and last year was a member of the Seattle Seahawks.

MORE NEWS: Several Injured In 7-Vehicle Crash In Tamarac

Losman will likely become the primary back-up to starter Matt Moore.