The 20-year-old has endured a difficult 18 months at Ibrox since making the switch from Liverpool, managing just 10 first-team appearances due to a catalogue of injuries.
The former England Under-19 captain returned to full training on Monday following a calf problem and will hope to have finally put his health issues behind him.
The Daily Record are now reporting that League One high-flyers Wigan are ready to offer Rossiter a fresh start by taking him south of the border with the Latics ready to table a relatively low offer.
Light Blues boss Graeme Murty must now decide whether to stick with a player who showed a lot of promise at Liverpool or cut their losses after his tough time with injuries.
England manager Gareth Southgate has claimed that the country needs to boot racism out of its own football before criticising World Cup hosts Russia.
Newcastle have been linked with a shock move for former Sunderland goalkeeper Simon Mignolet during the summer.