Preston North End have had a bid for him accepted, while Crewe Alexandra and Sheffield United are also in the running.
Laws had told BBC Radio Humberside: "I'm confident, but that's as much as I can say."
It appears Laws' confidence was misplaced, with both Preston and Crewe much more tempting for the striker.
Chester City have also lodged an offer, with £65,000 up front, an unnamed player in part-exchange and a 25 per cent sell-on clause.
Bury boss Graham Barrow is resigned to losing his star player, but is determined not to let him move to another League Two club.
He said: "I couldn't blame him for wanting to better himself, and I don't think the player or his agent see any benefit in him moving sideways."
United have instead been linked with 19-year-old Wolves striker Gary Mulligan, who scored for Rushden in last month's League game against United.
The Dublin-born striker has been on loan at the Northamptonshire club since the start of the season.