Bellator boss Scott Coker has indicated that he wants Cris Cyborg to face Katie Taylor in an MMA bout.
The Bray boxer has been linked with a crossover fight against the Brazilian, but many would have expected the bout to be in boxing rather than MMA.
Coker has held talks with Taylor's promoter Eddie Hearn and admits the type of fight could be a stumbling block in negotiations.
He said: "To me the caveat is going to be this. If they want to fight - and this may be a deal breaker - on some levels.
"But part of me feels like this - when I saw the McGregor fight against Mayweather. I felt like McGregor is not a boxer, he's an MMA fighter. Does he do boxing? Yes.
"But is he at the level of Mayweather? No. To me, I felt like that fight worked out the way it did, but Mayweather should have fought Conor in MMA, as part of the reciprocation.
"We'll have to work it out, but it depends what Cyborg wants to do. If Eddie Hearn wants to see who is the best female combat star, then maybe he should think about it."
Taylor is back in boxing action next month when she faces WBA mandatory challenger Miriam Gutierrez in Essex.
Meanwhile, Cyborg won via submission for the first time in her career last week as she defeated Arlene Blencowe at Bellator 249.
She made a successful defence of her featherweight belt by making Blencowe tap out in the second round of their bout.
