The Irish utility player made just 17 starts in all competitions last season and, although O'Shea admits he has been forced to contemplate his future, he is loathe to leave Old Trafford for a smaller club.
When asked about the possibility of leaving, O'Shea told reporters: "That is crossing my mind a lot of the time, but then I think 'where do you go when you leave a team like that?'
"That's an even bigger question. For the time being, I will stay where I am. You just have to get on with it. The club has so many players - in the build-up to the [Champions League] final, every player was fit."
O'Shea empathises with Sir Alex Ferguson's bind in trying to keep every member of the United squad happy, but he expects the Reds' manager to remain at the Old Trafford helm for a good while yet.
"I think our gaffer is up there on his own and he is hungry for more," he said. "Credit to him for that because obviously he feels that this team can go on and write a new part in the club's famous history.
"There are stories coming out that he has three more years in charge - I would say he could be there longer than that."