The Conservative MP for Welwyn Hatfield, Grant Shapps, has appeared on BBC Breakfast saying: "I want to see a leadership election in which I have no idea who I would support."
He made the comments after calling for Theresa May to step down as leader.
He says it is "better to make that change and have a free open democratic, leader election which put us in a better situation."
Meanwhile, cabinet ministers have been rallying around the prime minister after her accident-prone conference speech.
Michael Gove said she was a "fantastic" leader, had widespread support, and should stay "as long as she wants".