George Eustice has signalled a UK-wide framework will be required when responsibilities over agriculture and fishing are taken back from Brussels.
The Tory minister insisted he did not want to move from a system where things are dictated by Brussels to one where Westminster calls the shots.
And he pledged to work with the devolved nations to enable them to pursue policies that worked for them.
However, he said it would probably be a UK Treasury-funded scheme that was implemented, necessitating an overall structure.
He made the comments when asked about Gordon Brown’s suggestion over the summer that powers should be repatriated directly to Holyrood when the UK leaves the EU.
Mr Eustice, who claimed during the EU referendum campaign that Scotland would “automatically” get more powers in the event of Brexit, acknowledged the differences in agriculture around the country.
He said: “I don’t want to go from one system where they are being told what to do by Brussels on every piece of trivia to being told what to do by Westminster.”
But he added: “We will need some kind of UK-wide framework because of the fact it will probably be UK-wide funded.
“Also we will need to make sure we don’t get anti-competitive subsidies being paid out in some parts of the UK and not others.
“Within [those parameters], I’m very keen that we create as much opportunity as possible for the devolved administrations to pursue policies that work for them.”
