He originally was going to visit Tuesday, but his travel plans were pushed back.
McBride played in only 15 combined games for the New Orleans Saints the past two seasons but started eight games for the Detroit Lions in 2010 when he had a career-high 5.0 sacks. McBride spent his first three seasons in the NFL with the Kansas City Chiefs and has 9.5 career sacks.
The Bears could be looking at McBride in the event the club does not re-sign veteran free agent defensive lineman Israel Idonije. Bears general manager Phil Emery said at the NFL combine the team wanted to talk with Idonije about coming back, but possibly at a reduced price.
Idonije signed a one-year, $2.5 million deal with the Bears last offseason. While Idonije had another productive year for the Bears, the free agent market has proven tough for many veteran players because of the salary cap constraints some teams are facing due to the new collective bargaining agreement.