Chimbonda has signed a three-month deal at Brunton Park, and manager Graham Kavanagh has admitted that he has been surprised with the fitness levels of the Frenchman.
The 39-year-old told the club's official website: "I know what he's capable of. He's been a real breath of fresh air since I invited him to train with us.
"He just wants to play football. He's been playing in non-league football to keep himself fit, not because that's the level he should be playing at.
"We did some testing on Tuesday and I was actually surprised with his levels of fitness. It will take him a few games to get his match fitness back but I think that he's got the ability."
Kavanagh and Chimbonda were teammates during their respective spells with Wigan Athletic and Sunderland.