Former Kansas Secretary of State Kris Kobach (R) is 10 points behind Democrat Barry Grissom in a head-to-head contest for the state's Senate race, according to internal GOP polling data obtained by The Wall Street Journal.

The survey found that Grissom led Kobach 52 percent to 42 percent, while every other Republican tested in a head-to-head matchup had at least an 8-point lead over the Democrat.

The poll also showed a generic Republican beating a generic Democrat by a 44-36 margin.

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Republicans have offered public worries about the possibility that Kobach could win the Republican primary and be the party's nominee in the Senate race. Kobach was the GOP candidate for governor last year and lost to Democrat Laura Kelly.

The poll, which was conducted June 9–11 for the National Republican Senatorial Committee, found Kobach’s favorability rating underwater, with 32 percent of respondents viewing him favorably and 50 percent unfavorably. It surveyed 600 likely voters in Kansas, including 150 likely Republican primary voters, and has a margin of error of 4 percentage points.

Some in the GOP have expressed fear that nominating Kobach, a conservative firebrand who has staked out hard-line positions on immigration and election fraud, could jeopardize their chances of keeping the must-win seat in the Republican column next year after he lost the governor’s race last year. Democrats have not won a Senate race in Kansas since 1930.

“If it’s Kobach, hell yes, that’s a major race,” a veteran GOP operative with deep ties to Kansas told The Hill earlier this year.

The Kobach campaign, however, dismissed the poll, saying it is not consistent with over surveys.

“It's laughable that anyone is taking seriously a poll on a hypothetical match-up conducted 18 months before the election and prior even to Secretary Kobach's entry into the race. The reported favorable/unfavorable numbers are not consistent with other polls, which indicates that the sample of this June poll was not a representative sample,” Kobach campaign manager Steve Drake said in a statement to The Hill.

Kobach first announced his Senate bid in July to replace retiring Sen. Pat Roberts Charles (Pat) Patrick RobertsThe Hill's Morning Report - Sponsored by Facebook - Washington on edge amid SCOTUS vacancy The Hill's Morning Report - Sponsored by National Industries for the Blind - Trump seeks to flip 'Rage' narrative; Dems block COVID-19 bill GOP senators say coronavirus deal dead until after election MORE (R) with a heavy emphasis on his support for President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE, who won Kansas by about 20 points in 2016.

Republicans have held out hope that Secretary of State Mike Pompeo Michael (Mike) Richard PompeoWatchdog confirms State Dept. canceled award for journalist who criticized Trump Trump's push for win with Sudan amps up pressure on Congress Putin nominated for Nobel Peace Prize MORE, who used to represent Kansas in the House, would jump into the race, though he has not indicated if he will follow the urging of GOP leaders.

"I hear all the speculation. There’s a lot of people thinking about my future a lot more than I am," he said in a local interview this month. "I spend my days focused on delivering American foreign policy around the world, every hour, every day. That’s what I’m doing. I never vary from that."

Rep. Roger Marshall Roger W. MarshallGOP, Democrats look to galvanize women with SCOTUS fight Tillis appears to reinforce question about COVID-19 death toll The Hill's Morning Report - Sponsored by National Industries for the Blind - VP nominee Harris, VP Pence crisscross Wisconsin today MORE (R), former Kansas City Chiefs player Dave Lindstrom, conservative commentator Bryan Pruitt and Kansas state Senate President Susan Wagle are also running in the GOP Senate primary.

Democrats are expressing confidence in Grissom's chances.

“Barry Grissom is the strongest Democratic candidate to run for the U.S. Senate in Kansas in a generation, and he looks forward to a General Election race against extremist Kris Kobach,” Jerid Kurtz, a Grissom campaign staffer, told the Journal.