NBA Star Paul George -- If The Baby's Mine, I'll Man Up ... Never Offered $1 Mil for Abortion

Indiana Pacers superstar Paul George tells TMZ Sports ... he never EVER offered to pay a woman $1 million to abort her unborn child -- but if the kid is his, he's ready and willing to do the right thing.

We're told ... back in 2013, George had a relationship with a woman from Miami named "Daniela" -- a woman who is currently pregnant. The releationship went through the end of the summer ... but in November, Daniela informed George she was pregnant and she believes he is the father.

In a statement to TMZ Sports, George says ... "If and when there is legal confirmation that I am the father, I will fully embrace my responsibilities. This is a personal matter that is still being sorted out, so I hope you can respect my privacy. "

There are rumors that George offered the woman $1 mil to abort the baby -- but George's camp is adamant that's total B.S.

A spokesman tells us, "There is no truth to the rumors that Paul offered money for [Daniela] not to have the child."