The report states that the Reds could make a move for the 25-year-old before the January transfer window closes.
However, the report further claims that it would take a bid of around £60 million to tempt the Hammers into selling Bowen this month.
Anfield Watch Verdict
We would not be against Liverpool making a move for Bowen at some stage. The winger is a good footballer.
Bowen has scored 15 goals and registered 20 assists in 82 appearances for West Ham United's first-team.
The aforementioned figures highlight that Bowen is capable of playing in England's top division of football.
With that being the case, the 25-year-old would certainly add depth and quality to Liverpool's forward line.