Darren Moore’s side currently sit in the relegation zone in the Championship and are facing the risk of having to ply their trade in the third tier next season.
Should Sheffield Wednesday fail to ensure Championship safety, they will face a battle to keep hold of their key players, with Harris being one of them.
The 27-year-old midfielder is a regular in the Owls’ starting line-up but has a contract with the second tier club running out at the end of the season.
Sheffield Wednesday’s league rivals and promotion contenders Stoke City, Middlesbrough, Reading and Watford are all monitoring the player’s situation at the club.
Watford currently sit second in the league table and are aiming to finish in a place that will ensure automatic promotion to the top flight.
Reading, Middlesbrough and Stoke are also pushing for Premier League promotion and could be attractive options for Harris should the Owls drop down to League One.
With 12 more games left in their league campaign, it remains to be seen if Moore can help the side to Championship safety and retain hopes of keeping hold of Harris beyond the summer.