Cuban told reporters before Tuesday night's game between the Mavericks and the Lakers that if Griner is the best player available, "I will take her."
The 6-foot-8 Griner finished her college career as the NCAA leader in blocked shots and the second-leading scorer in women's college basketball history.
Cuban says he has already thought about it and "Right now, I'd lean towards yes, just to see if she can do it. You never know unless you give somebody a chance."
Cuban said Griner would have to make the team and he isn't "opposed to giving her the opportunity."
He adds: "That'd sell out a few games."
Griner responded with a tweet: "I would hold my own! Lets do it"