A Republican member of the bipartisan group seeking a deal on background checks for gun owners said Sunday that lawmakers remain at odds.

“I don't think we're that close to a deal,” Sen. Tom CoburnThomas (Tom) Allen CoburnPaul Ryan should realize that federal earmarks are the currency of cronyism Republicans in Congress shouldn't try to bring back earmarks Republicans should know reviving earmarks is a political nightmare MORE (R-Okla.) said on Fox News Sunday.

Coburn is working with Sens. Chuck SchumerCharles (Chuck) Ellis SchumerDemocrats now attack internet rules they once embraced Schumer: Trump budget would ‘cripple’ gun background checks Schumer: Senate Republicans' silence 'deafening' on guns, Russia MORE (D-N.Y.), Joe ManchinJoseph (Joe) ManchinPavlich: The claim Trump let the mentally ill get guns is a lie Toomey to introduce bill broadening background checks for firearms Scott Walker backs West Virginia attorney general in GOP Senate primary MORE (D-W.Va.) and Mark KirkMark Steven KirkHigh stakes as Trump heads to Hill Five things to watch for at Trump-Senate GOP meeting Giffords, Scalise highlight party differences on guns MORE (R-Ill.) to craft language acceptable to both parties. The Washington Post reported Saturday that the group was “on the verge” of an agreement that would greatly increase the likelihood of gun-control legislation getting through the Senate.

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Coburn warned that any talk of registering gun owners would doom the effort.

“There absolutely will not be record-keeping on legitimate, law-abiding gun-owners in this country,” he said. “And if they want to eliminate the benefits of actually trying to prevent the sales to people who are mentally ill and to criminals, all they have to do is create a record-keeping. And that will kill this bill. So if you really want to improve it, you have to eliminate the record-keeping.”

President Obama has made the push for gun control a centerpiece of his second term agenda, calling for background checks and for Congress to ban the sales of assault weapons and high-capacity magazines. But background checks are seen as the most likely to pass Congress this year in the face of strong opposition from the nation's gun lobby.

Senate Judiciary Committee Chairman Patrick LeahyPatrick Joseph LeahyGrassley, Dems step up battle over judicial nominees Popular bill to fight drug prices left out of budget deal Judiciary Dems want public hearings with Kushner, Trump Jr. MORE (D-Vt.) on Sunday said he was optimistic that a gun bill could pass Congress, but cautioned that he would only move legislation that had bipartisan support.