The right-back is now 35 and knows that he may have to call time on his Toffees career.
The Republic of Ireland international has played a total of 363 times in the Premier League for the Goodison Park club, a record.
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This football club means everything to me," he told Everton's website, as he mulls over a contract offer.
"I suppose I live and breathe it like everyone else.
"It's been a hell of a ride - the last two or three years - and it's not a case that you just turn up for work, go home and forget about it.
As I said before when I signed my last contract, it is hard to walk away from something you love."