Retired construction company owner Tom Young told the Tampa Bay Times he's been encouraged to run by supporters and is seriously considering it.
"I've had probably a hundred calls from people telling me I should do that," Young said.
He also said he has a solid understanding of how Washington works because of his brother's time in Congress.
The race could, in fact, be quite the family affair.
Young's son, Bill Young II, is considering entering the race, and some local Republicans want his widow, Beverly, to run in the special. Young's general counsel, David Jolly, has also been suggested.
Young's unexpected death earlier this month created an opportunity for Democrats in Florida's 13th district, which has been targeted unsuccessfully by the party before.
Democrats again had the district on their list of possible pickups for 2014, but Young's death makes it more competitive. Two Republicans, former state Rep. Larry Crow and GOP consultant Nick Zoller, have already launched bids.