Carlos Carvalhal will be hoping that any signings Sheffield Wednesday make during this window push for a spot in the top five in the future.
Hirst has been in fine form for Sheffield Wednesday and England's youth sides this season.
Sheffield Wednesday dropped to 10th in the Championship last time out.
The versatile left sider is said to be negotiating his release from Hillsborough.
The forward was booked during the Owls' Championship clash with MK Dons on Tuesday.
Owls number 2 Lee Bullen suggests the club may recall Jeremy Helan from his loan spell at Wolverhampton Wanderers.
Lee Bullen and Liam Palmer have moved quickly to keep the 17-year-old grounded.
The midfielder joined the Championship side at the start of the season.
The 26-year-old has been an integral part of the Owls' promotion push in the Championship.
Sheffield Wednesday are currently in sixth place in the Championship table.