The stalemate has prevented Senate committees from officially organizing, meaning Republicans still control key committees since the chamber is operating under the rules of the last Congress when the GOP was in charge.
Two members of the Senate GOP leadership team said they believe a deal is within reach.
Sens. John Thune, the Republican whip, and Sen. John Cornyn, a member of GOP leadership, each told CNN that they believe the comments by Manchin and Sinema could be enough to avoid the logjam.
Cornyn called the comments “promising commitments.”
“I know the pressure that Schumer is under by the crazies on his side,” Cornyn said. “I’m little more optimistic than I was Friday that it will be worked out.” The Texas Republican said that he also was concerned that if the fight over the power-sharing agreement drags out, Democrats may “lose their minds” and dismantle the filibuster to pass the resolution in order to let the chamber officially organize.
“That’s not a good development for anybody — not for the institution,” he said.
Thune, a South Dakota Republican, said an agreement had to happen “pretty soon” because “these committees are dysfunctional because they don’t have chairman, ratios and all that stuff.”
He added: “But if we could have a couple of Dems that would be willing to say something in a very public way and sort of sign a blood oath that they won’t, I think that would help a lot.”
This story has been updated with additional developments Monday.