The Merseyside-born striker joined the Reds in a £4m deal over the summer, completing a somewhat fairytale journey after being released by the club as a teenager.
However the move has proven to be closer to a nightmare for the 32-year-old, who has managed just 186 minutes of action and no goals.
Although the veteran ace has indicated in the past that’s he’s eager to battle Mario Balotelli for main striker role at the club, his stance is swaying as he eyes retaining a spot in the England team.
A move back to the Saints could offer him more playing time – even though he’d be competing with in-form summer signing Graziano Pelle – and the South Coast side my be open to a six-month loan deal.
Liverpool chief Brendan Rodgers is desperate to get his forward line firing once again, which could prompt moves for Saido Berahino of West Brom or Porto’s Jackson Martinez, pushing Lambert further down the pecking order.