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The West Ham manager - who has previously spoken of the merits of a British Cup which involved all four nations in place of the League Cup - said he wants to see British football brought together, with Celtic, Rangers and other Scottish teams competing in a reformed Premier League.
"I think reform is needed, change is needed in some way," said Moyes.
"I think the Premier League has a brilliant product, I really do, but you hear the top clubs talking about too many games, so could we have Premier League 1 and Premier League 2? Could we have a situation where we do invite Rangers and Celtic to Premier League 2? Why can we not unite the UK?
"Why do we have to be England and Scotland and not unite it? Why can it not be a pyramid that allows teams in the Scottish leagues to get into Premier League 2?
"In fact I think actually more money would filter down if Rangers and Celtic could be given an opportunity to come in. Why can we not unite the UK? We are in Brexit now, we have our country, so why not? Rangers and Celtic would only enhance what is happening in England."
Moyes has also raised concerns about the new UEFA format for the Champions League which was voted through during all the Super League chaos this week. The reforms add 100 games to the competition, with players raising concerns over an already packed calendar.
Moyes feels reforms in this country could aid those playing in Europe.
"I’m not sure I am totally enjoying what I am hearing about the new European format," he continued.
"I am not sure that is what everybody is sure about as well. It is only my opinion. I think we have a lot of really big clubs in England at the moment: Derby County, Notts Forest, Leeds United, what they have done in the Premier League.
"Why would we not try and make what we have got something new and maybe take a few less teams, maybe two out of the Premier League and put in Premier League 2, and we have a few extra weeks.
“The big clubs who have got such a big programme, and I can only see the new programmes getting so many more games, and it is getting too tough to play too many games."