10:42 AM PT -- TMZ Sports has obtained the arrest video from the prostitution bust ... and it's clear as day Gainey offered $60 for sex acts to an undercover officer posing as a prostitute.
During the exchange, captured by a hidden surveillance camera, Gainey negotiates a price for a "quick visit" and then tells the officer he's in town "the rest of the week" -- clearly implying he could be a repeat customer.
According to the police report, obtained by TMZ Sports, after Gainey handed over the cash, cops busted in and arrested the golfer ... and it sounds like something you'd see on Dateline.
The video is obviously embarrassing and serves as a reminder as to why Robert Kraft is fighting like hell to keep video from his prostitution case under wraps forever.
Pro golfer Tommy Gainey -- famously known as Tommy "Two Gloves" -- was arrested in a major prostitution sting in Florida ... TMZ Sports has learned.
The 44-year-old was 1 of 124 people busted in an undercover investigation in Polk County, Florida dubbed, "Operation Santa's Naughty List."
Polk County Sheriff
According to officials, Gainey was arrested for soliciting a prostitute -- and is facing a 1st-degree misdemeanor solicitation charge.
The sting op was a 6-day investigation using undercover detectives to target prostitution, human trafficking and child predators.
Cops say they used Internet advertisements to arrange meetings between the detectives and suspects.
Officials presented a "Naughty List" showing all 124 people arrested -- Gainey is on the board.
Jail records show Gainey was booked on Dec. 8 and was released on Dec. 9 after posting bail.
Sheriff Grady Judd explained the situation moments ago ...
Polk Co. Sheriff's Office
"He's married. He told us he was here for a charity golf event and it was supposed to be in the next morning tee off. He didn't make it. He was a scratch."
Judd added, "We charged him with soliciting. He missed his tee time the next morning."
Gainey has been a pro golfer since 1997 and joined the PGA Tour in 2008, where he gained notoriety for wearing gloves on both hands, unusual in the sport.
He's never won a major tourney but he's become a fan favorite for the way he dresses and plays -- in particular, he has a unique swing.
Gainey has had major sponsors over the years -- from Under Armour to Adams Golf and A.O. Smith.