Although Senate Minority Leader Mitch McConnell (Ky.) and other GOP leaders have not yet formally discussed what to do if Murkowski does run, the Senate Republican said there is likely no scenario in which she would be allowed to remain Republican Conference vice chairwoman.

According to this source, Murkowski could simply resign her position, or McConnell and other leaders could press her to resign. The conference could also formally vote to strip Murkowski of her leadership mantle.

Assuming she does stay in the race and is stripped of her title, Republicans would be forced to wait until after the November elections to vote to install a new member in her position.