Tiny -- I Want to Squash the Beef with Floyd Mayweather

T.I.'s wife Tameka "Tiny" Cottle tells TMZ Sports ... she's ready to end the war with Floyd Mayweather ... after a feud that already led to a bloody brawl at a Vegas burger joint.

You know the backstory ... T.I. confronted Mayweather at Fatburger back in May and a huge fight broke out. Floyd later said T.I. was mad because the rapper thought he had sex with his wife.

Both Floyd and Tiny had denied hooking up -- and said they were just friends -- but a short time later, Tiny blew Mayweather off on the red carpet at the BET Awards ... and it appeared the friendship was over.

But this week, we asked Tiny if the two would ever bury the hatchet -- and judging from her answer, she's ready to stop the fighting and finally move on.