"Nate was a great teammate," said Zack Bowman, who replaced Vasher at cornerback. "It was amazing how he kept things so positive even though things really weren't going the way he wanted them to on the field.
"The guy never took a negative approach to anything. He constantly gave me pointers, gave me encouragement and passed on a lot of things that as a young guy I really benefited from. Not only did Vash play some good ball here in Chicago, he was an extremely popular guy in the locker room.
Whether you needed a ride somewhere or wanted to watch a basketball game with somebody, Vash was always eager to hang out."
Vasher, who earned a Pro Bowl selection after recording eight interceptions in 2005, set an NFL record by returning a missed field goal 108 yards for a touchdown against the San Francisco 49ers on Nov. 13, 2005.
That record was broken when San Diego cornerback Antonio Cromartie returned a missed field goal 109 yards for a touchdown in 2007.
A fourth-round pick in 2004, Vasher started 46 games in six seasons with the Bears.
The Bears signed veteran cornerback Tim Jennings to a two-year contract on Tuesday.
ESPNChicago.com reporter Jeff Dickerson contributed to this report.