The Scotsman, who took over following the departure of Slaven Bilic in November, has urged supporters to get behind their team following news that the notorious fan group Inter City Firm have threatened to march against the club's owners.
"I am aware some of our supporters have been less than happy with certain aspects of the club over a period of time but for me, as West Ham's manager, my area of responsibility is helping to give the team the best chance of winning matches," Moyes told the Evening Standard. "The defeat at Swansea was really disappointing but it is behind us now.
"In the six matches we face at home it's crucial we get that united support behind the team. I've seen the proposed march is not taking place and I hope any concerns some supporters might have should be put aside for now so that we can all help this club stay in the Premier League.
"After tomorrow's match, we're going to Miami for some warm weather training. We do not play again for three weeks so there was an opportunity to do something now."
Next up for West Ham is a trip to face Burnley, who sit 10 points ahead in seventh place, on Saturday.