Hardy scored a try before limping off at the Principality Stadium in the second half of the 40-24 victory.
Wales are confident Cardiff Blues' Tomos Williams will be fit again after suffering a hamstring injury in the opening victory against Ireland.
Wales hope fly-half Dan Biggar will be fit to face Italy on 13 March.
The Northampton half-back limped off against England and was replaced by Callum Sheedy who produced an impressive 13-point performance. Wales will find out next week if Biggar will be available.