Payet has been not only the star of the Hammers' season so far but also one of the stars of the Premier League with his brilliant performances.
Slaven Bilic snapped the France international up for what now looks an absolute bargain £10 million from Marseille in the summer.
And he has already gone some way to paying his price tag off, orchestrating West Ham's fantastic start to the season which has put them third in the table with the chance of going top is they can beat basement boys Sunderland on Saturday.
Payet the myth buster
Teammate Jenkinson has seen first hand just how good Payet is and has told the club's official website his performances disprove the long standing myth that foreign players need an extended period to acclimatise to the English top flight.
“He is an exceptionally talented football player and has shown everyone what he can do so far, I am sure there is more to come from him," the on loan Arsenal defender told whufc.com.
“It is amazing how he has come from another league, moved all his family, changed his house and everything has changed for him, but he has settled down so quickly.
“They often say that it can take the foreign lads a season to do that, but not with Dimi and he has settled in straight away and he is playing fantastic football.
"Fair play to him and it is fantastic for us and his team-mates.”
High praise from man who has played with Henry
Having been alongside some great players at his parent club Arsenal, including another French star Thierry Henry, Jenkinson's words of praise are a big compliment.
West Ham are enjoying a different style under new manager Slaven Bilic and Payet's quality in midfield and attack have been crucial to its early success.
Payet has proved that class travels and a player with his ability and skill should be able to play anywhere.
Whether the Hammers can maintain their momentum remains to be seen.
But if they can keep Payet fit they stand a real chance of a very good finish in the Premier League in their last season at the Boleyn Ground before the big move to the Olympic Stadium.