Wiggins only moved to Hillsborough in the summer from Charlton Athletic, but he has struggled for appearances.
The depth of the Owls’ squad has left many of Carlos Carvalhal’s players on the sidelines, and Wiggins has generally had a peripheral role.
The 28-year-old has played just nine times for the Yorkshire side, and with Jack Hunt set to sign on loan from Aston Villa, Wednesday are now willing to listen to offers for the Welsh international.
Wiggins is a proven Championship performer, and it is no surprise that interest has quickly mounted in him, since he became available.
The defender is capable in both an attacking and defensive sense, but Carvalhal has had reservations over using him at Hillsborough.
If Wiggins does move to Brighton, he will be involved in a promotion push, while a switch to Bristol City would see him playing in a team battling against the drop.