State Sen. Chris McDaniel’s (R) lawyer said McDaniel’s campaign and supporters have found “thousands” of examples of ineligible voters who cast their vote for Sen. Thad Cochran (R-MS) in the runoff election for the Republican nomination for U.S. Senate.

“I know there are several thousand that are absolute, ineligible voters,” McDaniel attorney Mitch Tyner (pictured) said at a press conference on Monday. “And every one of those — every one of those is going to dilute your vote, it’s going to dilute your vote.”

Tyner’s comments come as McDaniel supporters pore over poll books in counties that went for Cochran, who McDaniel challenged, in the Republican primary for U.S. Senate. Cochran ended up winning the election and McDaniel and his supporters have since accused the incumbent senator of causing voter fraud.

One reporter at the press conference asked Tyner if he could specify what the McDaniel campaign and McDaniel’s attorney found by going through the absentee ballots on Monday. Tyner declined but said he would have more on that later in the week.

“One of the things that we know is very ripe for fraud in the state of Mississippi is absentee ballots,” Tyner said.

Cochran won by about 7,000 votes in the runoff. Tyner said he would be surprised if they couldn’t find enough votes to eliminate the gap.

“We don’t have to have 6,700 [to move forward with a legal challenge], however, I would be surprised if we don’t find 6,700,” Tyner said. “If there are that many ineligible voters then it’s already an automatically a new election.”

“The correct remedy is a new election,” Tyner said.