But despite McMahon's 51 to 42 percent lead over former Rep. Christopher Shays, her outlook is not completely positive. The poll found Shays, who served in Congress for 20 years, would have much better shot at beating the eventual Democratic nominee in November.
"In general election matchups, Shays runs neck and neck with either Congressman Christopher Murphy or Susan Bysiewicz, while McMahon trails both of them by double digits," writes Quinnipiac Poll Director Douglas Schwartz.
If that trend holds, history could repeat itself. In McMahon's bid for Senate in 2010, she succeeded in winning her party's nomination, but lost the general election to Democratic Sen. Richard Blumenthal.
Murphy and Bysiewicz, the former Connecticut secretary of state, are the current frontrunners for the Democratic nomination, with Murphy enjoying a comfortable lead, 37 to 25.
10 more election stories from beyond the presidential field:
Arlen Specter: Vote For Dick Lugar! [YouTube]
Tea Party PAC Backs Sarah Steelman In Missouri Senate Race [St. Louis Today]
Richard Mourdock Gets Indiana Right To Life Endorsement [The Hill]
Tom Barrett Set To Announce Whether He'll Run In Recall Election Against Scott Walker [Milwaukee Journal Sentinel]
Denny Rehberg Won't Endorse Paul Ryan's Budget Plan [Billings Gazette]
Richard Carmona Backed By AFL-CIO In Arizona Senate Race [AZ Central]
Kirsten Gillibrand Wants Hillary Clinton To Run For President In 2016 [Buzzfeed]
Club For Growth And House Leadership Battle Over Arizona Primary Race [Daily Caller]
Dean Heller Announces Violence Against Women Bill [Desert Beacon]
DCCC Adds 5 Candidates To 'Red To Blue' List [National Journal]