National Republican Senatorial Committee Chairman John Cornyn says a story in The Hill about him chatting up Joe Scarborough for the 2012 Florida Senate race is wrong.

“Rumor control: Last cycle, Joe and I talked about his interest in NY, not FL Senate race, so this story is wrong….” Cornyn said on his Twitter account this morning.

Adds NRSC spokesman Brian Walsh: “We already have plenty of great candidates looking at the Florida Senate race and we’re confident any one of them can beat Bill Nelson in 2012.”

UPDATED with NRSC clarifying tweet

Sen. John Cornyn, R-Tex., who heads the National Republican Senatorial Committee, tells The Hill he’s spoken twice to MSNBC Morning Joe host and former Panhandle Republican U.S. Rep. Joe Scarborough about running for Senate in Florida in 2012.

“I’d be delighted to talk to him a third time,” Cornyn said.

But the NRSC clarified via Twitter this morning that it is not “courting” Scarborough.

Cornyn’s last major Florida foray was grabbing an early seat on the Charlie Crist-for-Senate inevitability bandwagon in 2009.

UPDATE: A NRSC Republican called to let us know that this isn’t really news, particularly as it relates to the Crist-Rubio race. Cornyn liked Crist’s conservative credentials (anti-abortion, pro-gun) and also that that the committee wouldn’t have to put resources into the race because Crist was such a prolific fundraiser, the source said. Essentially, Cornyn never planned to spend money on the Florida race, particularly not in a primary.

U.S. Sen. John Cornyn, who recruited Gov. Charlie Crist to run for Florida’s open Senate seat next year, said today that the National Senatorial Campaign Committee will not put money into the primary Republican battle with former Florida House Speaker Marco Rubio.

“We will not spend money in a contested primary,” Cornyn, chairman of the National Republican Senatorial Committee, told ABC News .

The news comes after Crist’s lost his third major fundraiser to scandal in 10 months.

Crist still enjoys a monster fundraising advantage over Rubio, but Club for Growth President Chris Chocola telling reporters his group could throw its support behind Rubio.