After his release from West Ham, Wilshere has held talks about a move to Ibrox.
Former Gers star Adam told PLZ Soccer: "There's always a possibility Wilshere could come to Rangers.
"Will it be a pay as you play? Because he will still be getting paid from West Ham, and he might just think I might go up there and play until the end of this season.
"I could see it happening because Steven's got that presence so it wouldn't surprise me.
"When a quality player like Wilshere becomes available you've got to grab the bull by the horns and try and get that deal done."