Sen. Ron Johnson said Thursday he wants the Senate to vote on nixing the legislative filibuster, as an effort to convince fellow Republicans to bypass it altogether is running into a brick wall.

The Wisconsin Republican’s suggestion comes as the Senate will next week begin consideration of a partisan election bill known as the SAVE America Act. Some GOP senators on the conference’s right flank have been lobbying leadership and their colleagues to agree to invoke a “talking filibuster” as a way to get around the 60-vote requirement to advance the legislation. It would force Democrats to hold the floor if they want to block the measure.

“If we do go to a cloture vote [on the election bill], immediately after that we ought to vote on ending the filibuster,” Johnson told reporters, referring to the 60-vote threshold.

That vote, too, would fail to garner the necessary support, but Johnson said his position was, “let’s get people on the record” — including Democrats, many of whom have previously supported weakening the 60-vote filibuster.