Two high-profile light heavyweights coming off recent losses could be pitted against each other, according to UFC President Dana White.

Rashad Evans recently has expressed interested in a fight with fellow ex-champion Mauricio “Shogun” Rua.

White, though, has another fight in mind.

“That fight’s probably not going to happen,” he said Tuesday on FUEL TV’s “UFC Tonight.” “If any fight happens, it’ll probably be Rashad Evans vs. Dan Henderson.”

White, though, didn’t elaborate, and a targeted event and date were not mentioned.

Henderson (29-9 MMA, 6-3 UFC), of course, recently suffered a narrow split-decision loss to Lyoto Machida this past weekend at UFC 157. The 42-year-old said he thought he won the fight, though he said he put little blame on the judges because he wasn’t nearly aggressive enough in the pay-per-view co-headliner.

The bout was Henderson’s first since a “Fight of the Year” win over Rua at UFC 139 in November 2011. It snapped a four-fight win streak for the former Strikeforce champion, who lost a promised title shot with champ Jon Jones in September 2012 due to a knee injury. He was expected to reclaim No. 1 contender’s status if victorious over Machida.

Evans (17-3-1 MMA, 12-3-1 UFC), meanwhile, most recently suffered a unanimous-decision loss to Antonio Rogerio Nogueira at UFC 156. The lackluster defeat followed a previous decision defeat to champ Jones in their long-awaited title fight. The 33-year-old was on a four-fight win streak, which followed a title loss to Machida in 2009, before the recent setbacks.

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(Pictured: Rashad Evans)