Former World Wrestling Entertainment CEO Linda McMahon — who is vying to be the Republican Senate nominee in Connecticut — is meeting with Senate Minority Leader Mitch McConnell (Ky.) and other GOP leaders during her trip to Washington, D.C., this week.

McMahon met McConnell and Senate Minority Whip Jon Kyl (R-Ariz.) on Monday and is scheduled to have a session with Sen. Orrin Hatch (R-Utah) on Tuesday.

McMahon said in a Monday morning interview that the meetings were scheduled so that Senate leaders could ask her questions about her bid and not because she was seeking their endorsements. She also said she was meeting Monday with staffers at FreedomWorks, although former Majority Leader Dick Armey (R-Texas) will not be attending. Armey chairs the conservative grass-roots organization.

McMahon and former Rep. Rob Simmons are running in the GOP primary for the chance to take on Sen. Chris Dodd. Polls have indicated Dodd is one of the most vulnerable Democratic Senators up for re-election in 2010.

Senate leaders recruited Simmons early in the cycle to take on Dodd, but McMahon’s entrance into the race in August has been boosted by her ability to self-fund much of her own bid.

Earlier this year, McMahon told National Republican Senatorial Committee Chairman John Cornyn (Texas) that she could put up to $50 million of her own money into a bid. “He said that was a impressive number,— McMahon said of Cornyn’s initial reaction to her financial ability.