President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE on Monday indicated he would not be willing to debate the Republicans seeking to run against him in a primary for the party’s 2020 nomination.

“They’re all at less than 1 percent. I guess it’s a publicity stunt,” Trump told reporters as he left the White House for North Carolina.

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“To be honest, I’m not looking to give them any credibility,” he added.

Former Rep. Joe Walsh Joe WalshSunday shows preview: Protests continue over shooting of Blake; coronavirus legislation talks remain at impasse Republicans officially renominate Trump for president Tucker Carlson responds to guest correcting pronunciation of Kamala Harris's name: 'So what?' MORE (Ill.), former Rep. Mark Sanford Mark SanfordOn The Money: Business world braces for blue sweep | Federal Reserve chief to outline plans for inflation, economy | Meadows 'not optimistic' about stalemate on coronavirus deal Trump critic Sanford forms anti-debt advocacy group Republicans officially renominate Trump for president MORE (S.C.) and former Massachusetts Gov. Bill Weld William (Bill) WeldRalph Gants, chief justice of Massachusetts supreme court, dies at 65 The Hill's Campaign Report: Biden visits Kenosha | Trump's double-voting suggestion draws fire | Facebook clamps down on election ads Biden picks up endorsements from nearly 100 Republicans MORE have each announced campaigns against Trump.

The Arizona Republican Party earlier Monday canceled its 2020 presidential primary contest, joining the GOP in South Carolina and Kansas. Nevada may follow suit as the Republican Party seeks to clear Trump's path to reelection.

Trump defended the decisions, saying those states "don't want to waste their money."

The move to cancel a primary is not unprecedented. The Arizona Democratic Party did not have primaries in 2012 and 1996, when former Presidents Obama and Clinton, respectively, were running for reelection.

--This report was updated at 3:21 p.m.