He had a loan spell at Derby last season, now West Brom are reportedly interested.
Ever since Brendan Rodgers was appointed as manager at the club, Wisdom has given Rodgers something to think about. Last season he was sent out on loan to Derby County - who reached the final of the Championship play-offs - in order to get some more match practice with the club not participating Europe during the last campaign.
This time around the Reds are in the Champions League but Wisdom would remain some way down the pecking order.
Judging by where Wisdom played much of the last pre-season, one would think that Brendan Rodgers would like Wisdom to eventually be a centre-back. The Reds were poor defensively last season having shipped 50 goals in the Premier League and it's no secret that Rodgers would like more options.
Wisdom made an impression in Rodgers' first season at the club, and made a couple of appearances prior to his loan spell at the start of last season - playing a total of 22 games.
The defender has played most of his football at right-back. Glen Johnson is entering the last year of his contract at Liverpool and looks as though he will see his contract out, whilst Jon Flanagan, who impressed at left-back last season, is more comfortable playing on the opposite flank.
Whilst it would be beneficial for Wisdom to still get some regular game time, the Reds are going to need a bigger squad next season. He is a defender that seems to strong and reads the game relatively well, and regular game time is going to enhance that.
Rodgers is evidently looking at strengthening in the defensive area but if the club fails to secure those targets then it would be wise to keep hold of Wisdom - especially if Daniel Agger departs the club as the vice-captain's future remains uncertain, whilst Kolo Toure has reportedly attracted interest from elsewhere.
But it's essential he gets more game time, and the possibility of Wisdom playing in the Premier League as well next season is quite appealing in terms of his development, as he would get regular game time at a higher level than the previous term.
If Liverpool secure their targets and feel they have sufficient depth in the squad that they can afford to let him go out on loan, then they should do. He will undoubtedly return a better player - and if that's the case then Rodgers will allow it to happen.