The Condit-Woodley fight is expected to be featured on the pay-per-view portion of the card, which takes place on March 15.
Condit (29-7) is a former UFC interim welterweight champion, having earned that crown with a unanimous-decision win over Nick Diaz at UFC 143. He then went on to fight then-champion Georges St-Pierre, dropping a unanimous decision in that affair at UFC 154.
Woodley (12-2) came into the UFC in the summer of 2012, fresh off the heels of his first career loss. He has since gone 2-1 in the Octagon with wins over Jay Hieron and Josh Koscheck, dropping just one fight to Jake Shields.
The former Strikeforce standout texted UFC President White 15 times a day in an effort to secure a fight with Condit, according to the executive. It was something White said he loved to see and hear from his fighters.
“The guy can’t text me enough,” White said. “He wants every fight.”
UFC 171 will be headlined by a fight for the vacant UFC welterweight title between Hendricks and Robbie Lawler. St-Pierre vacated the title late last week, citing intense pressure being champion and a need to address personal problems.
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