With less than four weeks until the special election and no sign that the party’s besieged nominee will exit the race, Senate Majority Leader Mitch McConnell and his top advisers are discussing the legal feasibility of asking appointed Sen. Luther Strange to resign from his seat in order to trigger a new special election.

McConnell aides express caution, saying they’re uncertain whether such a move, one of several options being discussed, is even possible. Yet the talks underscore the despair among top Republicans over relinquishing a seat in deep-red Alabama, further diminishing their slim Senate majority.