NY Senator Kirsten Gillibrand -- MAKES CASE FOR CONDOLEEZZA ... For NFL Commish

The whole "Condoleezza Rice for NFL Commissioner" movement is picking up some serious steam ... and now NY Senator Kirsten Gillibrand is making the case for why Condi should get the job.

Kirsten was out in D.C. where she made it clear that Condoleezza is a serious contender -- especially with all of the drama surrounding the current commish, Roger Goodell.

When asked if the Senate would be "taking a look" at the NFL scandals ... Gillibrand said she wouldn't be surprised.