Gov. Tim Walz of Minnesota and Senator JD Vance of Ohio have agreed to participate in at least one vice-presidential debate this fall, with both candidates accepting an invitation from CBS News to face off on Oct. 1.

The network announced Wednesday on the social media platform X that it had offered Mr. Walz and Mr. Vance, the running mates of Vice President Kamala Harris and former President Donald J. Trump, four potential dates: Sept. 17, Sept. 24, Oct. 1 and Oct. 8.

“See you on October 1, JD,” Mr. Walz wrote in response. The Harris campaign confirmed that it had accepted the network’s invitation for that day.

On Thursday, Mr. Vance said he had accepted the Oct. 1 invitation, as well.

He also said he was willing to have a second, earlier debate on Sept. 18, a date offered by CNN. The Harris campaign did not immediately respond to a query whether it had also agreed to the second date.

“The American people deserve as many debates as possible,” Mr. Vance said in a post on X.

Mr. Vance previously shied away from committing to a date. He said after Ms. Harris announced Mr. Walz as her running mate that he wanted to wait until Mr. Walz was officially nominated. (While that traditionally happens at the party convention, Ms. Harris and Mr. Walz were nominated through an online voting process early this month.) And on Wednesday night, he said his decision on the CBS debate would depend on the format and rules, telling Fox News: “We’re not going to walk into a fake news media garbage debate. We’re going to do a real debate.”

Mr. Walz, for his part, said as he made his debut alongside Ms. Harris in Philadelphia on Aug. 6, “I can’t wait to debate the guy.”

Ms. Harris and Mr. Trump have agreed to a presidential debate on Sept. 10, according to ABC News, the network hosting it. Mr. Trump, after refusing to participate in debates during the Republican primary, previously debated President Biden in June — an event that was so disastrous for Mr. Biden that it led to his withdrawal from the race. But he repeatedly complained about the switch to Ms. Harris and suggested he would skip the September debate before ultimately agreeing to appear.