Bilic's star has faded over the last 18 months since his record breaking debut season where the Hammers finished just four points off the Champions League with their best ever Premier League points tally and first positive goal difference since 1986.
Fans have slowly started to turn on the Croatian and despite blaming owners David Sullivan and David Gold for many of the club's problems, most feel Bilic should still be getting better performances and results from the squad he has available.
But they have hardly backed him either.
A net spend of just £4 million since the big move to the former Olympic Stadium, constant interference in full public glare and no offer of a new contract all points to Bilic not being around beyond the expiry of his current deal next summer.
"I don't think so (Bilic will stay on beyond the summer), I think West Ham have a propensity to just run people's contracts down when they've run their course which is an interesting way of doing it, they did it with Sam (Allardyce)," Jordan told The Debate.
"I like the fact Bilic is a bit more strident this year, I like the fact he had a bite back at David Sullivan and I think Sullivan would have appreciated that because if his manager has got character then his team might have character.
"He's kind of treading water (at West Ham) and it will be interesting to see what happens with his career because I do think it will come to an end at the end of this season, and I do think West Ham will look at pastures new.
"Whether they will get anything better than Bilic is another matter, I think he's done a decent job - with the move from the Boleyn to the London Stadium - and I think he's a reasonable bloke but is that going to give West Ham and Gold and Sullivan what they want? Well probably, possibly and apparently not."
The Hammers have been linked with the likes of Carlo Ancelotti, Rafa Benitez, Thomas Tuchel and Roberto Mancini but Jordan appears to doubt whether they would be able to land a manager of that calibre.
The owners divide opinion at West Ham but have been praised by neutrals for standing by their managers and have done the same with Bilic.
West Ham supporters have been bored watching their side over the past year
Supporters have been wondering what has happened to the man who famously ushered in Croatia's golden generation of talent so impressively at international level. The man who picked apart the tactics of fellow managers to an adoring public on TV during the Euros.
Instead they are greeted by a forlorn and beaten man nowadays.
Playing players out of position, failing to promote the club's talented crop of young players and signing players for despite not appearing to have a plan to fit them into a coherent team.
That must change drastically if he is to earn a new deal or West Ham will indeed be looking to pastures new come the summer, or possibly even sooner.