"There are dozens in the House of Representatives who have reached that conclusion that I have; we're going to sponsor and co-sponsor objections to the Electoral College vote returns," Brooks told Fox News on Monday morning.

The move, which has to occur during the Joint Session of Congress on Jan. 6, requires a member of the House and a member of the Senate to carry out. So far, Sen.-elect Tommy Tuberville (R-Ala.) has suggested he might join Brooks and the other GOP House lawmakers. Sen. Rand Paul (R-Ky.) has also suggested he might as well. Neither Tuberbille nor Paul have made public statements affirming the effort.

Members of the Senate leadership, namely Majority Whip John Thune (R-Ky.), have said the effort led by Brooks is doomed to fail regardless of who joins him.

Meanwhile, Brooks said in the Fox interview that it's still not clear whether any Republican senator will partake in the challenge.

"The real issue is whether we have any senators who have done their homework and have studied what has transpired … that there has been massive voter fraud and election theft unlike anything we have seen in American history," Brooks said.