Hibbs, 23, impressed in the recent pre-season friendly at Leek Town.
A former Manchester City junior, he had spells at Hyde and Mossley before moving to Halifax Town.
He spent five years with the Shaymen, making more than 50 National League appearances, before departing for Spennymoor last summer.
Meanwhile, midfielder Paul Marshall whose signing was only announced last week, has already departed the Bucks and is expected to join a BetVictor Northern Premier North/West Division side.
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