The libertarian-leaning Amash is close to the Pauls, and received support from their national libertarian network — which he'd need to rely heavily on if he makes a Senate run. A National Journal story from last week reported rumors that they wanted him to stay in the House and featured a number of Republicans from outside the Paul or Amash camps speculating on those claims. The story also included quotes from those close to Amash disputing the rumor.

Amash and his allies have been sparring with those who want to see Rep. Mike Rogers (R-Mich.) run for the seat — and want to keep Amash out of the race so he has a clear shot at the nomination. The tweet is just the latest in the back-and-forth between the camps.

Sen. Carl LevinCarl LevinCongress: The sleeping watchdog Congress must not give companies tax reasons to move jobs overseas A lesson on abuse of power by Obama and his Senate allies MORE's (D-Mich.) decision to retire presents an opportunity for the GOP, but a divisive primary could hurt their chances at the seat. Rep. Gary Peters (D-Mich.) will announce his own candidacy on Wednesday, according to sources, and is unlikely to face any serious primary competition.