"I think she respects what we do enough to know that it's hard", he said.
Rousey has remained largely out of the spotlight since her last UFC fight, a December 2016 loss to Amanda Nunes. Rousey was "in a pretty good mood", but wouldn't reveal if she had just signed a contract or not. "She has a lot of things going on". Baszler has signed with WWE and wrestles in NXT.
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Nevertheless, Triple H continued that, presently, there are a lot of things to walk through before a potential Rousey stint in WWE, and that they're just having conversations at this stage.
WWE Smackdown Live may have been doing down in Alabama on Tuesday night, but WWE Executive Vice President Triple H was in Los Angeles having dinner at Republique restaurant.
Rousey, who adopted the "Rowdy" nickname from WWE Hall of Famer "Rowdy" Roddy Piper, is a big wrestling fan and has made guest appearances at WWE events.
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She's a huge fan of what we do and she's incredibly interested in what we do and the opportunities that lie there. The Game added that the WWE are also great fans of Rousey, and incredibly interested in potentially working with her.
Rousey refused to comment when approached by TMZ, only saying, "I enjoy fine dining".
There's been speculation on Rousey making her debut in the women's Royal Rumble match later this month but Triple H says they have not agreed on a deal yet. Besides, Rousey is unlikely to work a full-time schedule in WWE, irrespective of when she debuts.
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But it's clear that the Rousey-wrestling connection appeals to WWE.