The Owls are looking to add a striker to their squad, according to reports.
The Championship promotion chasers now have a week in which to strengthen their squad, at which point the emergency loan window will close for the final time.
While a new attacking addition is far from essential (the Owls have scored the second most goals in the division this season) bringing in someone of Murray's pedigree would only increase their chances of going up.
Gary Hooper, Lucas Joao and Atdhe Nuhiu are not a bad trio to have at this level, though, so you'd expect Wednesday to only enter the market for players who will definitely improve them between now and May.
And, if their pursuit of Murray is anything to go by, they're likely to favour experience over some Premier League whippersnapper who'll probably play for England one day but is yet to get a whiff of a first team squad.
The above criteria naturally restricts the options available to Carlos Carvalhal and co, but here are three names who could just fit the bill.
Should anything happen to Hooper, Wednesday would find themselves worryingly short of goals and securing another striker with a track record like his at this level, who could play alongside the former Norwich man too, would give the Owls every chance of getting out of the Championship this season.
Lambert, who's behind Salomon Rondon and Saido Berahino in the West Brom pecking order, may be 34, but he was a late starter, don't forget, and went to the 2014 World Cup with England. Wednesday's recent capture of Aiden McGeady is proof of their ability to attract - and afford - such big names.
While they're on the phone for Lambert, the Owls may as well enquire about his teammate, too. Amazingly, Anichebe is still only 27 and although never prolific in the Premier League, his powerful physique could make him a fearsome prospect in the second tier - and the ideal strike partner for Hooper.
The Nigeria international has played a mere 333 minutes of league football this season, but has been involved a bit more of late, so it shouldn't take too long to get him up to speed.
Crouch's wiry frame often belies his ability as a footballer and the 35-year-old would certainly bring a touch of class to Wednesday's front line. The former England striker has played even fewer league minutes than Anichebe this term (186 in total) but has kept himself in and around the squad and should be fit enough to make an immediate impression.
Just as with Lambert and Anichebe, a move north wouldn't be much of an issue for the Stoke City player.