Bridge left the Sharks in 2002, but has returned after an impressive spell at Newcastle Eagles.
Sharks coach Atiba Lyons was delighted to bring Bridge’s experience to the club.
Lyons said: “Andrew gives us great leadership and experience out on the court.
“He brings a lot of the intangibles to the court. That’s something we need with me concentrating on playing this season.
“We’ve got a good core with Andrew, Mike Tuck and Olu Babalola. I’m just looking for one more piece now.”
Nashid Beard looks set to leave the club after complaining it was not what he was looking for, and so Lyons is likely to scout the leagues for another big man to support Mike Tuck and Olu Babalola.