The head of the Republican National Committee should resign if Donald Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE remains on the GOP presidential ticket, one GOP lawmaker said Saturday.

A New York Times reporter tweeted that Rep. Charlie Dent (R-Pa.) is demanding RNC Chairman Reince Priebus remove Trump from the ticket.

ADVERTISEMENT

"If he can't, then he should step down," Dent said, according to the tweet.

Pressure is building on high-ranking party members as a growing number of Republicans call on Trump to drop out of the race. The Washington Post published damning audio on Friday of Trump bragging about groping women in 2005.

In rescinding their endorsements and saying they will not vote for Trump, a number of GOP lawmakers have indicated that they would like to see Trump's running mate, Indiana Gov. Mike Pence Michael (Mike) Richard PenceButtigieg stands in as Pence for Harris's debate practice Trump argues full Supreme Court needed to settle potential election disputes Pence adviser knocks ex-staffer who criticized Trump on COVID-19 MORE, on the ticket instead.

Trump, however, has said there is "zero chance" he would withdraw from the race.