Arizona's Republican congressional delegation will meet privately Thursday to discuss who among them might run for the Senate seat now held by outgoing Sen. Jeff Flake.

"We are going to have a little family discussion," said Rep. David Schweikert, R-Ariz. "Does someone have a passion for it?"

No Republican in the House has declared interest in the open Senate seat.

Flake announced Tuesday on the Senate floor he would not run for a second Senate term, and unleashed a torrent of criticism against President Trump during the speech.

Flake suffered from very low approval ratings in Arizona and faced a daunting if not impossible primary challenge from Kelli Ward, who is backed by Trump and was trouncing Flake in the latest polls.

Republicans in the House must decide if one among them will jump in the race to challenge Ward.

Schweikert, who is serving his third House term and occupies Flake's former 6th District seat, said he was not interested in running for the Senate.

"I'm not ruling it out," he said Wednesday. "But there is not a burning desire to do that; there just isn't."