In the election on 4 July, he held on to his Devon constituency, an area he has represented since 2010, by just 61 votes, narrowly avoiding a defeat to Labour.
Speaking on election night, Mr Stride said the party needed to “think long and deeply about what has happened over the last 24 hours and get ourselves back in a position where we are the natural party of government”.
“But that is going to take time.”
Leadership hopefuls have until Monday to collect 10 nominations from their fellow MPs.
Those that clear that bar will then have the summer to make their pitches, before MPs vote to narrow down the candidate list to four, and then two.
Party members will then get to vote on the final two, with the results expected on 2 November.
Mr Sunak will stay on as leader until his successor is chosen.
