Veteran free agent quarterback Todd Collins has rejected an offer to join the Chicago Bears and back-up Jay Cutler, Jason La Canfora of the NFL Network reports.

The Bears have been in the market for a veteran back-up since the off-season began, but the need to acquire one escalated over the weekend when back-up quarterback Caleb Hanie suffered a shoulder injury in the pre-season opener.

Chicago's offer reportedly contained no guaranteed money. Collins' minimum base salary would be $855,000, but with Hanie scheduled to return for the season-opener, Collins would almost certainly be left off the 53-man roster at the start of the regular season so the Bears could avoid guaranteeing his salary.

Retired quarterback Trent Green rejected overtures on Monday.

Collins, who turns 39 in November, played sparingly as Green's back-up in Kansas City from 2001-05, and has attempted just 674 passes during his 15-year career. A second-round pick (45th overall) out of Michigan in 1995, Collins has passed for 4,479 yards and 22 touchdowns, and has a career passer rating of 76.0.

Collins competed 12-of-23 passes for 144 yards in three games for the 2009 Washington Redskins.