The Baggies were rocked last week when their record signing Nacer Chadli was left at home as the squad jetted off on their pre-season tour of Austria following an alleged confrontation with Tony Pulis, as reported by The Telegraph.
The former Tottenham Hotspur attacker did not fly out with his team-mates and is undertaking his own fitness programme after missing Pulis' notorious training camp.
The Telegraph's report claims that Chadli was reluctant to take part in Pulis' gruelling fitness routine, which includes 5am starts and back-to-back jogs up Austrian hills, and is doing his own strength and conditioning in England.
West Bromwich Albion's Nacer Chadli celebrates scoring in a 4-2 win over West Ham last season
The incident has cast doubts over the Belgian international's future at the Hawthorns.
The Ghana captain endured a difficult first season in East London after being ruled out for four months with a torn thigh muscle just 30 minutes into his debut following a £20.5m move from Swansea City.
Ayew's form on his return from injury was nothing like what was expected but he slowly improved throughout the season.
Nevertheless he has been linked with a quick exit as Slaven Bilic clears his squad of a number of flops from a disastrous season of recruitment.
West Ham United's Andre Ayew
A swap deal could work out perfectly for all parties with Ayew getting the chance for more game time, Pulis getting a proven Premier League goalscorer and West Ham getting the attacking player they so crave.
Some Hammers fans will not like the idea of signing a Spurs reject but if Chadli plays to his top level his pace and power could prove a vital asset on their big London Stadium pitch.