TMZ is reporting that "Teem Mom" Farrah Abraham has made a deal for her sex tape that has been roumered to be floating around for the past few months?

TMZ-

Last time we saw Farrah she was marching into the Vivid offices with her father and daughter in tow to talk dollars and cents with porn king Steve Hirsch -- who's been interested in buying the "Teen Mom"/James Deen XXX vid from the get-go.

Even though Farrah said she was considering other offers ... sources close to the situation tell TMZ, Farrah finally inked a deal with Vivid ... for close to a million dollars.

Yes, nearly ONE MILLION DOLLARS.

Not only that, we've learned the 70-minute-long skin flick will be titled: "Farrah Superstar: Backdoor Teen Mom."

[TMZ]