Atlanta Falcons' Roddy White Admits Fathering Baby

White filed legal documents in Georgia earlier this month ... acknowledging he DID father a child with a Georgia banker named Stacey Hott ... and he's willing to accept responsibility.

But according to the docs, White isn't ready to fork over child support just yet -- despite Hott's claim that he's capable of providing a "generous" amount due to his massive NFL salary.

Unless the two can strike a settlement quickly, a judge will get to decide Roddy's payments.