The Red Devils were only confirmed as this season's Premier League winners on Monday after beating Aston Villa 3-0, but Sir Alex is already looking towards adding to his team for the new campaign in August.
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"Having spoken with the Glazer family [the owners] I think there's every intention we want to kick on, yeah," he added.
"Absolutely. I hope so. It has been fantastic [gaining extra revenue from sponsors] and that's credit to the commercial people, they've done a great job and of course the football team has been [the] platform for that. But they're capitalising on such a great profile of the club – there's no doubt, worldwide it seems to me to be getting bigger.
"We're happy where we are at the moment, that's for sure," said Sir Alex. "We've attracted some really good sponsors, interesting and valuable partnerships because all the sponsors we're combining with have got the same philosophies as ourselves in terms of trying to make their product the best in their business – that's what we're trying to do."