Sens. Johnny Isakson of Georgia and John Boozman of Arkansas, both up for reelection in conservative territory, also said they’d be happy to have Cruz on the trail with them.

Others, though, sounded far less welcoming, particularly in states where Cruz’s brand of conservatism may not play well with independent voters.

Several Cruz associates have mentioned New Hampshire as one place where he could be useful. Cruz, who notched nearly 12 percent in that state’s primary, could help turn out the GOP base for Sen. Kelly Ayotte, they’ve suggested.

But Ayotte isn’t interested.

“Uh, no. I don’t think I’d ask anyone to come up, generally, other than I had Joni [Ernst] and Shelley [Moore Capito] up … this is about me campaigning for New Hampshire,” she said, when asked if she wanted Cruz to campaign for her. “I’m going to be focusing on my campaign for me. It’s not a reflection on him, or anyone else … he hasn’t contacted me, but I’m sure there’s a lot of different races out there.”