In that time the East Londoners have only scored three goals.
It is a far cry from the club's electric start to the season which saw them boast the best away record in the Premier League with wins at Arsenal, Liverpool, Manchester City and Crystal Palace.
They also beat Chelsea and were the joint top scorers in the division until they hit a sticky patch which has coincided with a horrendous spate of injuries to six of their key players.
West Ham were becoming one of the most feared sides in the top flight, but their star has faded somewhat in recent weeks.
There have been signs that confidence - as well injured players - is slowly creeping back into the side, though, after back-to-back 0-0 draws at Manchester United and then against in-form Stoke City last time out.
The Hammers could easily have won both games but for their profligacy in front of goal with the likes of Mauro Zarate and Winston Reid hitting the woodwork multiple times in both games.
'We are due 15 or 20 goals now'
But co-owner Sullivan, who commended his side's efforts in his latest column on West Ham's official website, is confident their luck is about to turn based on one of his age-old theories.
"I thought the whole team had an impressive display against Stoke on Saturday and it is just a matter of time before our luck turns," Sullivan told whufc.com.
"Mauro Zarate was desperately unlucky not to get the goal of the season as we hit the post again and how we didn't win the game in the last 20 seconds when the ball was cleared off the line twice, I still don't know!
"I will mention it again but over a season for every time you hit the post you score four goals, so we are now due 15 or 20 before we hit the post again!"
West Ham set for goal fest?
So there you have it, West Ham fans strap yourselves in for a goal feast this Christmas.
Sullivan is an experienced football man, and an intelligent one too, so his theory is likely based on some statistical analysis.
Whether West Ham can get back to their freescoring ways without key players like Dimitri Payet and Diafra Sakho is another thing, though.
Most Hammers fans would agree they were the two players that make Bilic's side tick and without them the Irons look somewhat toothless up front.
With Manuel Lanzini expected to return from injury for this weekend's trip to Swansea City goals may be just around the corner.