Questions continue to mount over who former President Donald Trump might pick to run with him on the Republican ticket.

Yet while the identity of Trump's vice presidential candidate still remains unknown, his or her opponent just accepted an invitation to debate. 

Biden campaign wants CBS News to host debate; Trump favors Fox News

According to Fox News, Vice President Kamala Harris wants to square off against the GOP running mate, with the Biden campaign putting forward July 23 and August 13 as possible dates.

Kamala Harris accepts invitation to debate Trump VP pick https://t.co/7tOsy0J8YP

— Fox News (@FoxNews) May 17, 2024

It also said in a statement it provided to Politico that Harris is looking "forward to the Trump campaign accepting one of these dates so that the full debate calendar for this campaign can be set."

The Biden campaign would further like to see any debate take place in a studio owned by CBS News and broadcast on the network.

However, the Associated Press reported on Friday that Trump would prefer that Harris and his running mate debate meet  an event put on by Fox News at Virginia State University.

Vice presidential debate has outsized importance this year

In an article published this past Thursday, Politico contributor Calder McHugh pointed out that as a general rule, "[v]ice presidential nominees — and their debates — don't swing elections."

"But in this case, Harris and her GOP counterpart will face enhanced scrutiny because of the presidents they would serve," he continued.

"At 81 and 77, Biden and Trump are breaking the record for the oldest major party nominees for president — a mark that they themselves set four years ago," McHugh stressed.

"The actuarial tables alone suggest there’s a real chance that one of the two people of the vice presidential debate stage could be pressed into service as president sometime before 2029," he added.

Trump will announce his running mate at summer convention

As for who Harris' debate opponent will be, Fox News noted that Trump signaled this past week that he has nearly reached a decision and will reveal his choice at the Republican National Convention in Milwaukee.

"I don't say anything is 100%, but you’re getting pretty close," the president declared. "I'll be doing it in Milwaukee. We’re going to have a great time."

Observers have named a number of potential candidates, including South Carolina Republican Sen. Tim Scott as well as businessman and former presidential candidate Vivek Ramaswamy.