More than half of those who took part in the survey backed the current Leader of the House to replace John Bercow who is stepping aside after 10 years in the hotseat. A total of 10,106 people answered the online poll, which ran between September 10 at 3pm and September 12 at 10am, with 5,087 or 51 percent voting for Tory MP Mr Rees-Mogg.
Labour MPs Sir Lindsay Hoyle and Harriet Harman – the bookies’s favourites for the job – polled 2,299 votes (23 percent) and 648 votes (7 percent) respectively.
Sir Lindsay has been the MP for Chorley since 1997 and a deputy speaker since 2010.
He is viewed as a less contentious figure than Mr Bercow when in the Speaker’s chair and has never declared his views on Brexit.
Mrs Harman is the longest-serving female MP in the Commons and has represented Peckham since 1982.
She has been well backed by punters with bookmaker Coral cutting her odds from 7-4 from 4-1.
Sir Lindsay remains the favourite but his odds have drifted to 11-10 from 4-5 in the face of the strong support for Ms Harman.
READ MORE: Brexit LIVE: Boris WINS! No deal legal challenge dismissed in Belfast
Coral spokesman Harry Aitkenhead said: “Harriet Harman has revealed her intentions to become the new Speaker and her bid has received plenty of support.
“Not least from punters, who have now backed her into just 7-4 now and she’s now certainly one of the leading candidates.”
The Express.co.uk poll revealed Father of the House Ken Clarke, who held senior Cabinet positions under four Tory prime ministers but was stripped of the party whip for voting against Boris Johnson, received just 468 votes or 4 percent.
Mr Bercow, who has faced intense criticism from Brexiteer MPs and ministers in recent months, made an emotional resignation statement to MPs just hours before Boris Johnson’s decision to suspend parliament until 14 October kicked in.
He told the Commons he would stand down by the Halloween deadline for Brexit, unless a vote for an early general election was passed before then.
Mr Bercow said he had “sought to be the backbenchers’ backstop” during his time as Speaker and said it had been the “greatest privilege and honour of my professional life”.
His decision to quit came amid speculation the Tories were planning to break convention and stand a candidate against him the next general election after he granted MPs a vote on taking control of the Commons.