Walsh, who lost to Rep.-elect Tammy Duckworth (D-Ill.) by a wide margin in his 2012 reelection bid, said during a weekend rally that it would be "kind of fun to run against" Sen. Dick DurbinRichard (Dick) Joseph DurbinDems mull big changes after Brazile bombshell After Texas shooting, lawmakers question whether military has systemic reporting problem Bipartisan group of lawmakers aim to reform US sugar program MORE (D-Ill.) in 2014. He later said he was joking about the run, but didn't rule out another run for Congress — or for governor.

"This Republican Party needs a Scott Walker to run for governor, and I haven't seen or heard that candidate," Walsh said, referring to the conservative Wisconsin governor.