Wynne, 24, left the Bucks earlier this summer and has now been snapped up by Dave Dempsey’s side.
He spent time with Everton, Liverpool and Wigan Athletic as a trainee before moving to AFC Fylde as a teenager.
Wynne then moved on to Prescot Cables where he became a popular fans’ favourite in a three-year-spell with the Pesky Bulls, twice lifting the Liverpool Senior Cup alongside now Whites team-mates Lloyd Dean and James McCulloch.
He enjoyed a brief stint at Trafford early in the 2019-20 season before moving to Runcorn Linnets and then Hyde United.
“Jordan will bring an abundance of quality into our midfield area,” manager Dave Dempsey said.
“He is a player I’ve admired for a while and I’m delighted to be able to add him to the squad.
“I’m sure he’ll settle in quickly and be a big part of the team moving forward.”
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