After getting plenty of transfer business done early, if reports of Digne interest are true, he can't have been high on the agenda.
Even after a busy summer transfer window which has seen seven players arrive at Anfield, along with a couple of high-profile exits, the flurry of activity has not stopped players from being linked with a move to Liverpool.
After last summer, Brendan Rodgers suggested, in quotes carried by the Guardian, that the club had experienced the biggest window they would have for a while – with an elaborate spending spree embarked on off the back of the Luis Suarez sale to Barcelona.
But this one, needless to say, has almost matched the 2014 recruitment drive in terms of players coming into the club, with just about every position in the squad addressed, outside of left-back reinforcement.
Alberto Moreno signed for the Reds last summer and showed flashes of what he can do, though he has probably lacked the desired consistency, and the now injury-prone Jose Enrique didn't really offer suitable cover last term, and is unlikely to going forward having been left out of the squad for the recently concluded pre-season tour.
There has been a clear strategy to this summer's transfer window - look for the best deals they can in certain positions - which is evident in: bringing in three players who were out of contract at their former clubs, one younger player, addressing a problem position with the signing of Nathaniel Clyne, and sending out a statement with two big-money transfers in Roberto Firmino and Christian Benteke as the side tries to find its scoring touch once again.
All of these deals, with the exception of Benteke, were done before Liverpool even kicked a ball during pre-season. If a left-back was high on the club's list of priorities this summer, one would think that the Reds would have acted lot earlier than 12 days before they kick off the new Premier League campaign.
The Digne talk rumbles on, though, and it could be that a complete freshening up of the ranks is concluded before competitive action returns on August 9.