(CNN) - Republican Sen. David Vitter is considering running for Louisiana governor in 2015, he said in an email to supporters Wednesday.
Vitter, a two-term U.S. senator who was first elected in 2004, said in the email that he and his family started the decision process last week over Thanksgiving and will continue to weigh his options through the coming holidays.
"Many good friends and supporters have encouraged me to run for Governor in 2015–to bring my focus and leadership to the challenges we face as a state," Vitter said.
"We certainly haven't made our decision yet, so we'll be reflecting and praying on it very carefully through the Christmas holidays."
Any decision by Vitter could come early next year.
Current Louisiana Gov. Bobby Jindal is term-limited and cannot run for reelection. Jindal, the former chairman of the Republican Governor's Association, is considered a likely 2016 Republican presidential candidate.
Vitter has rebounded from alleged past solicitation of prostitutes, having been linked to the so-called "D.C. Madam" scandal in 2007 and going on to win his second term in the Senate in 2010.
Vitter also served in the U.S. House from 1999 to 2005.
Republican Louisiana Lt. Gov. Jay Dardenne has also indicated he will jump in the state's 2015 gubernatorial race, as has Democratic state Rep. John Bel Edwards. And New Orleans Mayor Mitch Landrieu, another Democrat, is also mulling a bid.
CNN National Political Reporter Peter Hamby contributed to this report.