Senate Majority Whip Dick Durbin (Ill.) said becoming chairman of the Democratic National Committee is not on his "bucket list."

The DNC's current chairman, Tim Kaine, is expected to jump into the Virginia Senate race shortly and Democrats are quietly searching for his successor.

Durbin said he wasn't interested in the job.

"The idea of traipsing all over the United States is not really on my agenda," he said on NBC's "Meet the Press"

Asked if he would accept the position if President Obama asked him, Durbin sounded reluctant.

"I am not soliciting it, " he said. "I've got a good job in the Senate and a great job representing Illinois."

Other names at the top of the list are former Ohio Gov. Ted Strickland, former Michigan Gov. Jennifer Granholm and Massachusetts Gov. Deval Patrick. Rep. Debbie Wasserman Schultz (D-Fla.) is also in the mix for the position.