The teenager is a regular user of the social networking site where he interacts with Hammers fans on a range of club issues.
West Ham's brilliant start to the season has fallen flat of late.
In truth the margin of victory could and probably should have been more as Slaven Bilic suffered his first humiliation since returning to East London as boss.
It stretched the club's winless run to three games following the draw with Everton and 2-0 defeat to Watford beforehand.
Far cry from flying start
Their recent form is a far cry from West Ham' 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.
West Ham were becoming one of the most feared sides in the top flight, but the defeat to Watford seems to have dissipated that.
The Hammers are aiming to get back to winning ways against West Bromich Albion at Upton Park today.
'Where do you think West Ham will finish?'
With a third of the season complete and West Ham sitting sixth in the table on 21 points, Sullivan junior has been asking his followers where they think Bilic's side will finish come May.
In a Twitter poll, Sullivan asked: "Where do you think West Ham will finish?"
The poll was broken up into three sections, 1st to 6th, 7th to 12th and 12th to 20th and a total of 2,418 people voted.
And the results prove Hammers fans are remaining realistic about their prospects with 81% thinking they will finish between 7th and 12th place.
Some are still hopeful they can at least maintain their current position with 11% voting 1st to 6th place. The remaining 8% believed they would drop down the table and finish between 12th and 20th.
Where do you think West Ham will finish?— Jack Sullivan (@jsullivanwhu) November 25, 2015
While not all of Sullivan's followers will necessarily be Hammers fans, the vast majority are and it gives an indication how supporters feel about the direction the team is heading under Bilic.
Perhaps the fans would have been more optimistic if star player Dimitri Payet had not been ruled out for three months.