At a meeting of senior members of her Conservative party on Thursday, May resisted growing demands to set out a detailed plan for her departure right now.
But Graham Brady, the chairman of the 1922 Committee of Conservative MPs, said May would do this after a parliamentary vote in the week beginning June 3 on legislation to approve her EU divorce deal.
“We have agreed that she and I will meet following the second reading (first vote) of the bill to agree to a timetable for the election of a new leader of the Conservative and Unionist Party,” he said.
Many of May’s ministers and senior lawmakers are already making moves for the leadership, holding photo opportunities and giving wide-ranging speeches that go well beyond their official briefs.
Johnson, who botched his chance to run against May when she took office after the 2016 referendum, has long been assumed to be a candidate but has recently kept out the limelight.