Wilson, 34, signed a one-year deal with the Bears back in late June and was competing for a roster spot behind and Ryan Mundy and rookie Brock Vereen.
He signed a three-year deal worth $5 million that included a $1 million signing bonus with the Patriots last year. However, the former Cardinal spent the entire season on injured reserve following an Achilles injury.
The Patriots cut Wilson loose back in early April and hadn’t found any reported interest before the Bears signed him to a contract.
Wilson last appeared in an NFL game during the 2012 season while playing for the Cardinals.