Balotelli is currently on loan at AC Milan from Liverpool where he has played just three Serie A games all season and scored one goal despite the San Siro giants struggling behind the likes of Empoli down in eighth place.
That follows on from last season when he managed just one Premier League goal following his shock transfer to Anfield.
Word that he could be set to join the Hammers for £10 million after injuries to star striker Diafra Sakho and Andy Carroll has not gone down well with the club's supporters on social media.
But here are three reasons the club will not be signing the fiery star.
1) Slaven Bilic will not press the self destruct button
If Balotelli was to sign for the East Londoners it would seriously jepordise their brilliant season.
West Ham are fifth in the Premier League and just four points off the Champions League places after a superb start to life under Bilic.
But signing Balotelli, and all the negative media attention that would follow, would unsettle what is a very good team spirit.
One of the keys to West Ham's fine season is the willingness of the team to work hard for each other.
The main criticism of Balotelli, aside from his volatile tendencies, is that he is lazy. And if there is one thing the West Ham faithful demand from their strikers it is work rate.
Signing him would be like pressing the self destruct button, much in the same way it was for Brendan Rodgers at Liverpool.
And that is why the intelligent Bilic will not be getting involved.
2) West Ham are not going to be active in January
West Ham have already repeatedly stated they will only enter the January market if something 'exceptional' arises.
Balotelli is certainly exceptional but for all the wrong reasons. Players must also leave before anyone comes in as co-owner David Sullivan has revealed the club is at its wages limit under the Financial Fair Play regulations.
Even if the likes of Mauro Zarate are moved on - as reported by the likes of the Evening Standard - Bilic is more likely to move for his key targets Gokhan Tore and Simone Zaza.
3) Not even David Sullivan would be silly enough to sign Balotelli
West Ham's co-owner David Sullivan has sanctioned some questionable transfers in his time, most notably Benni McCarthy and Mido since owning the Hammers.
Sullivan is heavily involved in transfers but even he would not be tempted to take a chance at resurrecting Balotelli's ailing career.
Sullivan restructured West Ham's transfer policy when he brought in talent spotter Tony Henry and the club's focus is on bringing in young, hungry, fit players who can prove themselves with the club.
Balotelli does not fit that category and Hammers fans can rest assured he will not be tarnishing the club's last ever season at their beloved Boleyn Ground with his histrionics.