Trouble has flared repeatedly since the club moved to their new home, with five arrests made after the 1-1 draw with Middlesbrough.
But Sullivan claims the violence will stop as soon as Slaven Bilic turns things round with the team losing five of their first seven league games.
Hitting out at “negative campaigning” by critics, he said: “Things will calm down shortly and it will all be helped when we start to win a few games.
“I would like to thank 99.9 per cent of the supporters who are behaving impeccably and are really getting behind the team.”
West Ham will give Chelsea fans a reduced allocation of 5,200 tickets for the powderkeg EFL Cup clash at the London Stadium on October 26.