De Niro Absolutely Goes Off on Trump: 'I'd Like to Punch Him in the Face'

Perino: 'Shockingly Lewd' Tape Will Hurt Trump, And Not Just With Women

Trump Issues Statement About Vulgar Comments Caught on Hot Mic in 2005

One Republican senator who has been a longtime critic of party nominee Donald Trump said on Twitter that it is time for the New York businessman to give his running mate a chance at the top of the ticket.

Senator Ben Sasse (R-Neb.) tweeted Saturday that "Donald Trump is obviously not going to win", adding that he could "make an honorable move [and] step aside & let Mike Pence try" to win the election on November 8.

Sasse, 44, who has won both praise and derision for vocally criticizing Trump throughout the campaign, reportedly said in July that he was open to supporting the Libertarian Party due to Trump's candidacy.

For his part, Trump has in turn jabbed Sasse on Twitter on occasion, in response to criticism from the senator.

With his statement Saturday, Sasse joined a bevy of fellow Republicans, including Rep. Jason Chaffetz (R-Utah), Senate Majority Leader Mitch McConnell (R-Ky.), former Gov. Jeb Bush (R-Fla.) and 2008 presidential nominee Sen. John McCain (R-Ariz.) in condemning and distancing themselves from Trump.

Pence was reportedly "beside himself" as well, after hearing the leaked tape of Trump discussing women in a lewd manner before starring in a soap opera cameo in 2005.

Luntz: 2005 Tape's Release is 'Donald Trump's 'Waterloo''

Strategist: How Trump Can Keep Debate Focused on Issues After Lewd Tape

D'Souza: WikiLeaks Release Reinforces 'Crooked Hillary' Label