The 19-year-old striker joined Boro on loan from Southampton for the rest of the season on Thursday.
Hoskins is likely to start on the bench with Stevenage boss Gary Smith having an almost fully-fit squad available.
Defender Jon Ashton remains the only injury absentee with an Achilles problem and he is edging closer to a return to action.
Smith will be considering making changes, though, after his side fell to a third straight defeat at Walsall on New Year's Day.
Bondz N'Gala, Robin Shroot, Marcus Haber and Greg Tansey are among those pushing for recalls after starting on the bench on Tuesday.
- Sports & Recreation
- Jon Ashton