The defender went off injured during Tuesday night's defeat away at Bolton and requires a scan to find out the full extent of the damage.
With Hunt highly unlikely to play any part against Posh, Calum Woods is expected to fill in at right-back.
Town remain without midfielder Adam Clayton, who serves the final game of his two-match ban after accumulating 10 yellow cards throughout the campaign.
Elsewhere, midfielder Keith Southern is nearing a return from his Achilles problem but will not feature at the weekend.
The Terriers go into the game in the relegation zone on goal difference and lie just one point ahead of the visitors, who are in 23rd.
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- Calum Woods