West Brom right-back Hurst arrived at the Shropshire club for a second spell on Thursday having enjoyed close to two months at the Greenhous Meadow last term.
And he was joined ahead of the closing of the loan window by lively Birmingham striker Asante, with both set to remain until the end of the campaign.
Hurst has been brought in following the hamstring injury to Cameron Gayle, which could well rule him out for the remainder of the season, while fellow defender Rob Edwards (thigh) also continues to miss out.
Long-term absentee Jermaine Grandison (hip) is pretty much at full fitness but would face a tall order being thrown straight in for the Easter programme.
Fit-again midfielder Mark Wright (knee) is also likely to need reserve-team action before being considered for selection.
- Sports & Recreation