Graham Platner is facing new concerns about his U.S. Senate campaign following a report in The New York Times on Thursday that he told an ex-girlfriend about the Nazi symbol tattooed on his chest years ago and had “unsettling” interactions with her and other women.

With Tuesday’s primary fast approaching, and Platner being the overwhelming favorite to win the Democratic nomination, it is almost certain that he will appear on the general election ballot in November if normal procedure is followed. He would face five-term incumbent Republican Sen. Susan Collins in a high-stakes matchup if so.

However, Democrats have some limited options to replace Platner on the ballot if he were to drop out.

There is no indication that Platner is considering leaving the race. In response to the Times story, Platner told the Press Herald that, “I’m not proud of who I was then, but I am proud of the work I’ve done since, and the movement we are building in Maine.”

According to Maine law, if a candidate nominated in a primary election withdraws on or before 5 p.m. on the second Monday in July — July 13 this year — a replacement candidate can be named.

That process is largely up to the political party, which then has until the fourth Monday in July — July 27 this year — to fill the vacancy, according to the Maine Department of the Secretary of State.

A spokesperson for the Maine Democratic Party declined to comment Thursday when asked if the party is having any discussions about Platner’s candidacy and if he should continue.

According to the party charter, the process for naming replacement candidates includes convening a nominating meeting assembled by a person appointed by the party chair.

The charter does not provide great detail on the process but says the meeting should be run in accordance with state law and the party charter.

Platner will face Gov. Janet Mills and former government official David Costello in the primary Tuesday.

Mills suspended her campaign in April, and Costello is lagging badly behind in the polls and in fundraising. Write-in candidate Andrea LaFlamme is also seeking the Democratic nomination but has failed to gain much traction.