Swansea target Fernando Llorente celebrates scoring
The Hammers have been linked with a host of top strikers this summer but have already missed out on Dutch star Vincent Janssen after he opted to join Spurs as well as Lyon's Alexandre Lacazette despite having a record £31 million bid accepted.
Bilic also failed with a bid to lure Belgian star Michy Batshuayi who instead joined London rivals Chelsea.
A rumoured move for Liverpool's Christian Benteke and talk of bids for Juventus duo Simone Zaza and Mario Mandzukic have gone quiet.
Bilic turns attentions to Ayew
And Llorente appears to be that man with Sevilla sporting director Monchi confirming the move, as reported by Sky Sports.
Ayew hit 12 goals last season
Report: Move just pending a medical
Now Italian journalist Gianluca Dimarzio reports on his website that Ayew's move will be completed once the Ghana international passes a medical in East London.
"Andre Ayew isn't expected to be available for the (Swansea) game against Burnley as the striker is very close to joining West Ham, once the medical is completed the Ghanian striker is expected to join the Hammer," reports gianlucadimarzio.com.
"Guidolin's club has identified Fernando Llorente as his replacement, the former Juventus striker is their top target."
Ayew bagged 12 goals last season and at 26 he is five years younger than his expected replacement at the Liberty Stadium.