The Owls sit seventh in the Championship, three points shy of a play-off place and 13 points adrift of league leaders Middlesborough.
An extra addition going forward could prove the push Wednesday need for promotion. The past few weeks have seen Carlos Carvalhal's side demolish Wolves 4-1 and Birmingham City 3-0 after bouncing back from a 2-1 defeat away at MK Dons.
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The Championship side are reportedly prepared to offer the 31-year-old Adebayor a route back into the game, though wage demands might pose a problem.
The Owls' board are expected to tempt the former Real Madrid man with a £50,000-per-week short-term deal until the end of the current campaign.
The Togolese has also been linked with Watford, West Ham and Premier League champions Chelsea, though a move to Hillsborough would offer regular football.
With the form Wednesday are in, less pressure is likely to be on the striker’s shoulders in comparison to playing at Stamford Bridge, where goalscoring has proved a problem for the Blues.
The towering forward left White Hart Lane over the summer and despite being a free agent, Spurs are still paying him £100,000-per-week until his contract expires at the end of the season.
In the forward’s ten seasons in England’s top flight with Arsenal, City and Spurs, the forward has proved a clinical goalscorer, bagging 122 goals in 293 appearances.