The Republican mayor of an Ohio city that has been the target of unfounded claims from former President Donald Trump and his running mate about Haitian immigrants eating residents’ pets said Tuesday that a visit from the Republican presidential nominee would strain the city's resources.

“It would be an extreme strain on our resources. So it’d be fine with me if they decided not to make that visit,” Springfield Mayor Rob Rue said during a news conference at City Hall on Tuesday.

NBC News reported on Sunday that Trump planned to visit the city "soon," according to a source familiar with the former president’s planning, after amplifying during a presidential debate a baseless claim that had circulated in right-wing spheres online for weeks, saying Haitian immigrants were “eating the dogs” and cats of local residents.

Officials in Springfield have said the allegations were meritless, with city police issuing a statement that said there were “no credible reports” of pets being harmed by Haitian immigrants.

Ohio Gov. Mike DeWine, a Republican, had also panned the claims as “garbage" and visited Springfield Tuesday as the city responds to dozens of bomb threats, deemed hoaxes that have led to temporary closures and evacuations of schools and city buildings.

DeWine said that a campaign visit from a presidential candidate is “generally very, very welcomed,” but acknowledged that it would pose challenges.

“I have to state the reality though that resources are really, really stretched here,” DeWine said.

DeWine said he hasn’t spoken to Trump or Vance and hasn’t heard about the candidates potentially visiting Springfield.

In response to a request for comment, Trump campaign spokeswoman Karoline Leavitt said in a statement that there are "very real problems plaguing the residents of Springfield, OH : skyrocketing rent costs, stressed public health and education services, increased vehicular accidents and public safety concerns because a community of 60,000 Ohioans has been overwhelmed by a sudden influx of migrants. President Trump will continue to talk about making America safe again.”

Ohio Sen. JD Vance, the Republican vice presidential nominee who has also spread the false claims about pets in Springfield, told reporters on Tuesday that he hasn’t made plans to visit the city.

Asked on Tuesday whether he would be joining the former president on the trip or if he had his own travel plans, Vance said a trip had not been formalized, but safety would be a top concern.

“I haven’t made plans to go just in the last few days,” Vance said. “I know the president would like to go but also hasn’t made any explicit plans."