The 33-year-old has only started a single league game for the club in the Premier League this term.
Sky Sports suggests that if the right offer arrives for Sharp, he can leave.
Sharp has 228 goals in league football in the past 11 seasons, with his last coming on the opening day of the season against Bournemouth.
Among the clubs interested in his signature are Middlesbrough, while a move to the Championship seems the most likely.
Sharp has not asked to leave the club he loves, but he understands that game time will be scarce in the second half of the season as well.