Progressive Democrats are pushing for a vote on a controversial health-care bill after the party takes control of the House early next year.

But the left’s push for “Medicare for all” legislation would likely divide Democrats and pose a headache for House Minority Leader Nancy Pelosi(D-CA), who is poised to become Speaker in the next Congress.

Rep. Pramila Jayapal (D-WA), who is co-chair of the Medicare for All Caucus in the House, told supporters on an organizing call Tuesday night that simply expressing support for the idea is not enough.

Supporters say they are going to push for a vote and organize grass-roots efforts to pressure Democratic holdouts to sign on to the legislation. However, any floor vote would probably fail, with all Republicans and some Democrats rejecting the measure.