The Amanda Nunes vs. Claressa Shields superfight -- the best female MMA fighter against the best female boxer -- could happen way sooner than anyone thought ... as in as early as May, so says Claressa's promoter.
TMZ Sports talked to Dmitriy Salita -- who also reps boxing stars Jarrell "Big Baby" Miller and Otto Wallin -- about the most anticipated crossover fight in women's combat sports.
"Claressa wants to be a two-sport star," Salita tells us.