Murkowski has been in Alaska, mulling whether to re-enter the Senate race. She conceded the GOP primary last month to Joe Miller but has been weighing whether to continue on - perhaps as a write-in candidate - after receiving an outpouring of encouragement.
A Murkowski spokesman wasn't sure if she'd be back in Washington this week.
Miller, meanwhile, is headed to Washington later this month for fundraising and for meetings with Republicans.
Since winning the primary, Miller has begun receiving endorsements from GOP leaders and the establishment, including the National Republican Senatorial Committee.