Texas Senator Ted Cruz has a commanding lead in Utah showing the potential to tie up all 40 of Utah's delegates, according to a new poll of likely Republican caucus goers.

The survey indicates Cruz has 53 per cent support, far ahead of Ohio Governor John Kasich with 29 per cent and national frontrunner Donald Trump with 11 per cent.

If Cruz breaks the 50 per cent barrier, getting a majority of the total, then he has the chance of claiming every delegate.

Texas Senator Ted Cruz (pictured at a rally in Provo, Utah on Saturday) has a big lead in Utah showing the potential to tie up all of 40 of Utah's delegates, according to a new poll of likely Republican caucus goers

Cruz supporters pictured during the rally for the Republican presidential candidate. The survey indicates Cruz has 53 per cent support, ahead of John Kasich with 29 per cent and Donald Trump with 11 per cent

Utah Republicans assign delegates proportionally based on each candidates' vote total with one exception - if a candidate gets more than 50 per cent of the votes, they get every delegate.

'Ted Cruz is the only candidate showing the potential to get more than 50 per cent of the vote in Utah,' Quin Monson, founding partner at Y2 Analytics, told Fox 13.

In the poll, conducted between March 17 and 19, Cruz lead with 57 per cent support among those who said they were 'very likely' to attend the caucuses.

The poll also showed that most Utah Republicans, 81 per cent, are not happy with the direction of the national party, and 64 per cent said nominating Trump would weaken the party.

The survey included 500 likely caucus attendees and the margin of error is 4.38 per cent.

In the last publicly available poll conducted between February 10 and February 15, Cruz was also in the lead but the split field gave him 22 per cent support among Republicans, with Florida Senator Marcio Rubio and Trump closely behind, Fox 13 reported.

Ahead of Utah's Republican presidential caucus on Tuesday, Cruz will need undecided voters and Kasich supporters to break 50 per cent, Scott Riding, managing partner at Y2 told Fox 13.

A number of Republican officials have shown their support for Cruz in recent days while falling short of endorsing the senator, who is currently in second place in the race for the party's nomination.

Last week, former Republican presidential nominee Mitt Romney said he will vote for Cruz in the upcoming caucuses in his home state of Utah.

In recent days, a number of Republican officials have shown their support for Cruz while falling short of endorsing the senator, who is currently in second place in the race for the party's nomination

Last week, former Republican presidential nominee Mitt Romney (pictured on Monday) said he will vote for Cruz in the upcoming caucuses in his home state of Utah

Romney wrote on his Facebook page on Friday that the contest is 'between Trumpism and Republicanism,' referring to Trump.

He said the billionaire businessman's name has become associated with 'racism, misogyny, bigotry, xenophobia, vulgarity and, most recently, threats and violence.'

Romney's support for Cruz came a day after U.S. Senator Lindsey Graham threw his support behind the Texas senator, saying in similar fashion that Cruz has the best chance of stopping Trump, even though he thinks Kasich would have a better chance of winning in November's general election.

Trump currently leads his rivals overall, having won 678 delegates in contests held thus far, according to a count by The Associated Press.

Cruz is in second place with 423 delegates and Kasich is in third with 143.