The Red Devils secured the title with five games remaining and currently sit 13 points clear of rivals and last season's champions Manchester City.
Goal.com understands that Borussia Dortmund striker Robert Lewandowski is top of Sir Alex's wish-list, while a move for Tottenham star Gareth Bale and a shock return to Old Trafford for Cristiano Ronaldo have also been mooted.
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"When I spoke about value in the market a while back, I was talking about young, developing players. Maybe there has been a wind of change and I could go for a really top player now. We have a nucleus of young players here, but we may spend something.
"When it’s a top player, it doesn’t matter what position they play in. I will bring them in if they add to the team. Last season we had [Javier] Hernandez, [Danny] Welbeck and [Wayne] Rooney and we still went out and bought Robin van Persie.”
The purchase of Van Persie went against the policy of a "nucleus of young players" at Old Trafford, and Sir Alex admitted the deal to bring the striker from Arsenal was heavily discussed following similar, but less successful moves in the past.
"Van Persie’s age was certainly an issue because it has not always worked when we have bought older players," he continued.
"David Gill said to me after we bought Dimitar Berbatov [from Tottenham for £30 million] that we had to be careful when signing older players, but Van Persie was different. He was phenomenal for Arsenal last season and so I was confident it would work.”
Despite the potential arrival of new strikers, Rooney's future at Old Trafford looks assured as he is set to be offered a new four-year deal at the club.