Struggling West Ham meet defending champions Manchester City then must travel to runaway leaders Liverpool on 24 February.
"Whoever the best teams are, managers are thinking of a plot to try to beat them," said Hammers boss David Moyes.
"You only have to look at Manchester City's success in recent seasons - it's been exceptional. It won't be an easy task, but we'll try everything we can to get a result.
"What matters is where we are at the end, not the middle of February. You play everybody twice so, come the end of the season, we'll give ourselves a good chance of being in a strong position but we have to win games.
"The ones coming up at the moment look much harder, but it's where we are at the end of the season that will really count."