The Yorkshire Post report that Neil Warnock has made the signing of a new right-back a priority after failing to secure Joel Ward, who instead joined Crystal Palace for £400,000.
Peltier joined Leicester for £750,000 from Huddersfield Town last summer and Town are also said to be keen to re-sign him, possibly for a fee reduced to as little as £300,000.
Peltier made 47 appearances in total for Leicester last season, but his place is under threat with manager Nigel Pearson keen on bringing in Liam Rosenior from his former club, Hull City.