The 25-year-old winger has been in sensational form with only Mohamed Salah managing more goals and assists in the Premier League this season.
Bowen has scored seven times in his last seven games in all competitions and is under consideration for a call-up to England. His form has caught Liverpool’s attention and West Ham want to reward him and secure his long-term future.
Bowen has three and a half years left on the contract he signed when he joined West Ham from Hull for £20m in January 2020.
Tomas Soucek is another West Ham player who could be in line for a new contract, with talks over a new four-year contract set to be completed this summer, while Moyes would like to see Declan Rice sign an extension, after rejecting two contracts. offers this season.
Moyes pushed West Ham to change their approach to new contracts for players, with Michail Antonio’s extension kept under wraps for several months before it was announced in January.
It is believed that further contract talks will be left until the summer, when West Ham will find out if they are in European competition next season.