The fifth-placed Hammers are flying high this season and are just a point off the Champions League places with eight games to go.
Slaven Bilic has reinvigorated the East Londoners and could even take them to Wembley if they can see off Manchester United in their FA Cup quarter-final replay at Upton Park next month.
But despite their surge, pundits are only just beginning to take notice of their achievements.
'It takes the pressure off'
And that is fine by Sullivan, who has told The Mirror his side can play without pressure thanks to Claudio Ranieri's brilliant Foxes side who look set for the most remarkable title win in the history of English football.
“It takes the pressure off us!” Sullivan told The Mirror.
"If they weren’t there, we’d be the sole topic of conversation: 'Are West Ham going to make top four? Will they do it?'
“So it really pleases me that we are slipping through under the Leicester umbrella.”
Champions League achievable
In fact the Hammers would already be in the top four had it not been for some terrible refereeing decisions against fierce London rivals Chelsea last time out.
The Hammers were deservedly and comfortably leading the Blues 2-1 and looked set to leapfrog Manchester City into the Champions League places on Saturday.
That was until another howler from the match officials saw the Blues awarded a penalty that never was in the dying seconds of the game.