Kavanagh played alongside Chimbonda during spells with Wigan Athletic and Sunderland, and the Irishman has admitted that the former France international could prove to be a valuable asset at the club.
The 39-year-old told the News & Star: "I know what Pascal's like as a person and as a character. With his history and calibre, I'd be foolish not to have a look at him.
"We'll monitor him over the next week and see where he's at. If we can get him fit, and he can fit into the group in a positive manner, I'd like to have him on board.
"He's said all the right things and it's a case of us having a look at each other."
Chimbonda has been without a club since leaving Doncaster Rovers in 2012.