On the Democrat side, the poll found that 28 per cent of likely Democratic voters said that the party should find someone else, instead of Joe Biden to be the presidential nominee.
Another 54 percent told the organisation that the party should stick with the former vice president, while 18 per cent said they were unsure.
Among Democrats, 92 per cent said that they think it is very likely that Mr Biden will be the Democratic nominee for president.
A new poll has revealed that nearly a quarter of Republicans think that the party should nominate someone other than president Donald Trump as their 2020 presidential nominee.
The poll, by Ramussen Reports, found that 23 per cent of likely Republican voters want the GOP to deny the president the chance of running for a second term, by nominating a different candidate.
According to the organisation, who conduct surveys nationwide, 70 per cent said that Mr Trump should be the Republican candidate, while seven per cent were undecided.
Although 23 per cent said that they did not want Mr Trump as the presidential nominee, 95 per cent confirmed that they think it is very likely he will be the Republican candidate.
The survey was conducted between 12 May and 13 May and asked 1,000 likely Democrat and Republican voters.
In a poll last month, the organisation found that 34 per cent of likely US voters said that they would be voting for the lesser of the two evils between Mr Trump and Mr Biden, but did not specify who that candidate was.
On Thursday, Mr Biden said that he would not pardon Donald Trump, or halt any federal probes into his conduct, if he was elected US president.
He told MSNBC that if any charges were filed against Mr Trump he would not intervene, as “it is not something the president is entitled to do,” he said.
“To direct a prosecution or decide to drop a case. It’s a dereliction of duty.”