Sonnen and Bisping were previously scheduled to face Munoz and Demian Maia, respectively, on the Jan. 28 FOX event in Chicago.
UPDATE: Maia will face Chris Weidman.
While matchup changes two weeks before a show is never ideal, Sonnen-Bisping was a matchup previously targeted by the UFC. The two middleweights were in talks to coach on season 14 of The Ultimate Fighter, but the UFC passed on Sonnen due to his legal troubles. Another outgoing talker, Jason "Mayhem" Miller, took the coaching position instead.
Bisping (22-3), who is on a four-fight winning streak, defeated Miller by TKO last December at the TUF 14 Finale. Meanwhile, Sonnen (26-11-1) returned to action last October and submitted Brian Stann with an arm-triangle choke.
White has also made it clear the winner of Sonnen-Bisping will face champion Anderson Silva for the belt.