Rees-Mogg said today he would compromise to get a Brexit deal from the EU

Brexiteers in the past have said no deal would be preferable to compromising

Remarks are a signal May's Brexit speech soothed Tory infighting over Brexit

Theresa May's hopes of getting a Brexit deal agreed by her warring Tory party were raised today when Brexiteer ringleader Jacob Rees-Mogg accepted he would have to compromise.

Mr Rees-Mogg, the chairman of the powerful European Research Group that links up scores of Tory backbenchers, said he did not like parts of Mrs May's desired deal.

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But he said he would accept the Prime Minister signing up to EU regulatory agencies overseen by EU judges after Brexit as the price for a wider deal.

The intervention is a rare signal from leading Brexiteers that they could accept a deal they do not entirely support instead of a hard Brexit with no agreement.

Mr Rees-Mogg, in an interview ITV's Peston on Sunday, also backed higher health spending after Brexit to fulfill Vote Leave's campaign promise.

Mr Rees-Mogg told the programme he could accept the Prime Minister's position over retaining membership of certain European regulators, such as the European Medicines Agency.

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'I'm supportive of what the Prime Minister is trying to do,' he said.

'I recognise all of us have to compromise to some extent. So yes, of course, from a perfect point of view, I would rather not be in the agencies.

WHEN WILL BRITAIN BE OUT OF THE EU? Britain triggered Article 50 on March 29, 2017, starting a two year process for leaving the EU: March 2018: Outline transition deal agreed, running for about two years June 2018: EU summit that Brussels says should consider broad principles of a future trade deal. October 2018: Political agreement on the future partnership due to be reached Early 2019: Major votes in Westminster and Brussels to ratify the deal March 29, 2019: Article 50 expires, Britain leaves the EU. Transition is expected to keep everything the same for about two years December 31, 2020: Transition expected to come to an end and the new relationship - if it has been agreed - should kick in

'But if that is the price to pay to get an overall trade deal, and if that is something that unites the country and the Conservative Party, then that is something that I can live with, because there won't be direct effect of the European Court of Justice jurisdiction.

'Do I think the Prime Minister is right to argue for that? Well, I'm willing to go along with what she has set out as a package, and therefore I have to accept that part of it, although I'm less enthusiastic about that part than other parts.'

When asked if he or Mrs May should lead the Tories into the next election, Mr Rees-Mogg said: 'Theresa May. She is a fine leader and she has my full support.'

He added: 'I'm not a runner. There's no vacancy. I've answered this question in so many forums. I am not a candidate.'

Mr Rees-Mogg said it was 'not the time to start spending money like there's no tomorrow', ahead of the Chancellor's spring statement on Tuesday.

'Having said that, there are some pressures in the public sector, particularly in health,' he said.

Prime Minister Theresa May (pictured in Maidenhead with husband Philip today) proposed in her Mansion House speech Britain signing up to some EU regulators overseen by the European Court

'I would like to see the dividend of leaving the European Union devoted to the health service.

'I think people felt that was promised during the referendum campaign and the figures on health spending, in real terms since 2010, is a 1.1 per cent increase.

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'Whereas in the period of the Conservatives in government from '79 to '97, it was 3.4 per cent.

'So we're running at a significantly lower real-terms increase in health spending currently.

'And with an aging population, with increasing medical sophistication, I don't think it's realistic to expect that the current levels of spending can be maintained.'