West Ham are sitting 18th in the table after losing five of their opening seven Premier League games of the campaign.
They are on four points and have struggled to show the kind of form that got them playing European football in the last two seasons.
Moyes was heavily backed in the transfer market in the summer, but the West Ham boss has been finding it hard to use all the attacking options in his squad to their full effect.
Agbonlahor pointed out that the West Ham manager got what he wanted in the market and insisted that now he needs to find a way to get West Ham up the table given the money they have spent.
The former striker believes after two impressive seasons, West Ham cannot afford to languish in a relegation dogfight this time around and Moyes needs to start producing results soon or face mounting questions over his future at the club.
Agbonlahor said on talkSPORT: “David Moyes and West Ham fans wanted money to be spent on that squad and they spent the third most in the Premier League in the transfer window.
“After getting to the Europa League semi-finals and how impressive they have been over the last couple of seasons, they can’t afford to have a season where they are fighting relegation.
“Yes, it’s only seven games gone and four points but you look at Wolves at home, if they lost this game, I reckon the pressure will start on David Moyes because he can’t get the selection right at the moment.
“[Jarrod] Bowen is not performing, [Gianluca] Scamacca and [Michail] Antonio are not scoring, could he Antonio off the wing maybe and try and mix it up a bit?
“I just think West Ham with the money they have spent and the squad of players they have got, need to be pushing up that table soon.”
West Ham will host Wolves at the London Stadium on Saturday before taking on Anderlecht in the Europa Conference League next Thursday.
