Lord Michael Howard has insisted Theresa May should stay in her position, adding that Jeremy Corbyn's reaction to the result was "mystifying" because he didn't actually win.
Labour won a total of 262 seats in last week's vote, but did not come close to the majority required to form a government.
As they did not win enough seats, Lord Howard said Jeremy Corbyn's reaction to the result was baffling.
He told Paul Ross: "Corbyn had a net gain of 30 seats in the election. I got 33 and I resigned the next day.
"Corbyn seems to think he’s won a great victory but he hasn’t."
The Prime Minister is hoping to form a government with the backing of the Democratic Unionist Party in the wake of the hung Parliament result.
The former Conservative leader said: "I think she should stay until after the Brexit negotiations are concluded.
"We need stability for those. It would be very disruptive to hold a leadership vote in that time.
"We need time to negotiate, and then we can see where we are."