The Mail on Sunday has reported that MPs approached to give their support to Adam Afriyie as a potential successor to David Cameron had been told that Mr Afriyie had the backing of 40 MPs.
The Sunday Times quoted a "friend" of Mr Afriyie, who is 47, as saying: "The team are well organised.
"They are very concerned about the long-term future of the party and believe Adam is the future. He has a fantastic back story and is very impressive."
More top news
The cold weather is set to continue over the next few days with further wintry showers and icy patches, particularly at night.
Some child abuse survivors say they received death threats after MPs published their details online.
Coronation Street has found another actress to play Bethany Platt, after a previous one was dropped for lying about her age.