He has been coaching at Premier League new-boys Stoke City on a casual basis and recently spoke of his desire to make the role more official.
However, Kinnear appears keen to have the 57-year-old former England captain at Newcastle as he seeks to add some experience to his backroom team.
"There is only me and Chris (Hughton), and we have a lot of lads to work with. We need to work in smaller numbers," he added.
"Gerry can do some solid work and I will pay him accordingly. He has no desire to be a manager or anything full-time. He won't be involved in anything on Saturdays.
"I feel we need someone with that experience. He will not be a number two or anything like that, I will be meeting him for a meal on Monday afternoon to discuss it. There is a good chance something will happen.
"If it is not Gerry I will still be bringing someone else in, to specialise in certain things in small groups - defence, midfield, strikers."
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