The 22-year-old had the opportunity to sign for the Italian giants this summer before accepting a deal to move to Hull City, and he insists that gaining more experience was a key factor in his decision.
"I went to the San Siro, the training ground and it was unbelievable to stand there in that environment," Ince is quoted as saying by The Mirror. "That's an ambition of mine, but I don't think you should jump the gun.
"You've got to realise that when you're a young lad you have to educate yourself and make moves for the right reasons. That's all that matters.
"At my age I have to think about football development. I've come here to be educated. Anyone can go to a status club and pick up five or six times more money than you could do in the UK, but I'm a footballing person. That's why this move is right for me."
Ince was a free agent this summer after his Blackpool contract expired.