Linked with a move to Nottingham Forest already this summer, the goalscoring midfielder is thought to have been the subject of a bid from the Reds' opening-day opponents Burnley.
The £1.7m offer has been knocked back but Burnley, set to be one of the close season's biggest spenders at this level, are likely to return with a new bid.
Reports elsewhere meanwhile suggest that Chris Cohen remains a target for Premier League Bolton Wanderers.