LONDON — Prime Minister Theresa May’s Cabinet has agreed that EU citizens should not have preferential access to work in Britain compared to people from elsewhere after Brexit, media reports said on Tuesday.

Ministers gathering on Monday “unanimously supported a system based on skills rather than nationality”, an unnamed source told the BBC, with similar reports in The Times and The Guardian.

Last week, official advisers recommended prioritizing high-skilled migrant workers coming to Britain after Brexit, alarming companies in low-paid sectors. They also said there should be no preferential treatment for workers from the EU.

The Financial Times said that while ministers backed the advisers’ proposals, the idea of giving no preferential treatment to EU workers could change if Britain agrees a trade deal with the bloc.

“That would mean a better deal on migration, but the same offer would be available if we struck trade deals with other countries around the world,” the newspaper quoted a source as saying.

Citizens from the other 27 European Union member states are currently free to live and work in Britain under the bloc’s freedom of movement rules, but this will end after Brexit.

A government-commissioned report last week recommended that in future, EU and non-EU citizens follow the same immigration rules, with preference given to high-skilled workers.

The report’s author, Alan Manning of the Migration Advisory Committee, briefed the cabinet meeting on Monday on his plan.

A Downing Street spokeswoman said: “The Cabinet agreed that, once free movement is brought to an end, the government will be able to introduce a new system which works in the best interests of the UK, including by helping to boost productivity.”

May is now expected to make an announcement on future immigration rules at her Conservative party’s conference next week, before likely introducing proposals later this year.

However, any post-Brexit immigration policy could be affected by Britain’s future trade deals.

The EU may well seek to negotiate continued preferential treatment in return for access to its single market, while other countries could also seek visa waivers in return for trade deals.

May promised last week that even if Brexit negotiations with the EU break down, the rights of Europeans currently living in Britain “will be protected”. Her spokesman said there would be formal proposals published “shortly”.

Spokesmen for May’s office and for Britain’s interior ministry declined to comment on the reports. — Agencies