Rep. Liz Cheney Elizabeth (Liz) Lynn CheneyGOP lawmakers distance themselves from Trump comments on transfer of power Graham vows GOP will accept election results after Trump comments Liz Cheney promises peaceful transfer of power: 'Fundamental to the survival of our Republic' MORE (R) leads a field of declared and potential GOP Senate contenders by 20 points in the race to replace retiring Sen. Mike Enzi Michael (Mike) Bradley EnziChamber of Commerce endorses McSally for reelection Cynthia Lummis wins GOP Senate primary in Wyoming The Hill's Convention Report: Democrats gear up for Day Two of convention MORE (R) in Wyoming, according to a new poll from Montana State University Billings.

The House Republican Conference Chairwoman, who has not yet said whether she will run for Senate, garnered 37 percent support in the survey, compared to 17 percent support for second-placed former Rep. Cynthia Lummis Cynthia Marie LummisChamber of Commerce endorses McSally for reelection Cynthia Lummis wins GOP Senate primary in Wyoming Chamber of Commerce endorses Ernst for reelection MORE (R-Wyo.), who has already filed to run for the Senate seat.

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Others were polling in single digits, including GOP mega-donor Foster Friess, who is also weighing a bid. Thirty-eight percent of those polled said they remain undecided.

Speculation has grown over whether Cheney, the No. 3 Republican in the House, will enter the open Senate race or look to continue to climb in the leadership ranks in the lower chamber.

Under the rules of the House Republican Conference, Cheney — the daughter of former Vice President Dick Cheney — would have to vacate her leadership position after formally declaring herself a candidate for Senate.

Were she to enter the Senate race, she would face Lummis, a former member of the House Freedom Caucus who has received strong support from the conservative flank of the Republican Party.

“Liz is a rising star in the Republican Party and regardless of where she is after 2020, she’s going to be a trailblazing force for conservatives moving forward,” one GOP operative said.

“There’s no wrong decision for her, and this poll just reaffirms that she’s an overwhelming front-runner if she opts to launch a Senate campaign.”

One leadership source told The Hill there has been talk of changing the rules to allow the two-term Wyoming Republican to remain on as conference chairwoman while seeking a seat in the upper chamber.

While the filing deadline to enter the race isn’t until May 2020, some speculate Cheney is likely to announce her decision before the end of the year.

Montana State University Billings polled 177 likely voters from Wyoming in a random telephone sampling conducted from Oct. 7 to Oct. 16, and has a margin of error of 7.4 points.