Arkansas Sen. Tom Cotton (R) said Sunday that he has "no doubt" the Senate GOP's efforts to confirm Amy Coney Barrett to the Supreme Court will go on as planned despite several senators who attended her nomination event last week testing positive for the coronavirus.

In an interview with "Sunday Morning Futures" host Maria Bartiromo on Fox News, Cotton assured viewers that the Senate's business would remain on track despite several GOP senators testing positive for COVID-19 following last weekend's event.

"What I can say is that everyone is eager to be at work when they need to be at work, they're on the [Senate] Judiciary Committee a week from tomorrow either in person or virtually to have the confirmation hearings for Judge Barrett, and then to have the vote on Judge Barrett this month," Cotton said.

"None of this should have any impact on schedule of the Senate, either on the Judiciary Committee or the Senate as a whole," the senator continued, adding: "No doubt about it, Maria."

Cotton's comments come despite a move from Senate Majority Leader Mitch McConnell (R-Ky.) to delay the return of the upper chamber by two weeks in response to the cases.

Two members of the Senate Judiciary Committee, Sens. Mike Lee (R-Utah) and Thom Tillis (R-N.C.) have tested positive for the virus. Sen. Ron Johnson (R-Wis.) announced on Saturday he had tested positive for the coronavirus as well.

Barrett's nomination must first pass the committee's vote before proceeding to a vote in the full Senate.

"I think every senator who's currently tested positive or is in isolation will be back to work under normal conditions," Cotton said. "But, if that's not the case, there is a long and venerable tradition of ill or medically infirm senators being wheeled in to cast critical votes. ... So I'm confident that every senator will be in attendance when his or her vote is needed." 

Barrett's nomination to the court is expected to rely mostly on GOP votes. A number of Democratic senators so far have rejected the prospect of meeting with Trump's nominee.