On the surface, Howe’s appointment looks as if it would be a fantastic one, with his Cherries side just two games from winning promotion to the Premier League for the first time, with the chance of the Championship title still in their grasp.
They play ultra-attacking football and score a wealth of goals, two traits that make him the perfect boss for a club like West Ham, who have a rich history of playing with the ball and focusing upon entertaining crowds.
The appointment of the 37-year-old would look to have no problems, and the Hammers would likely want to bring him in as soon as possible.
However, there is a key factor which should worry fans of the East London club, and that is that Howe has never been a success away from Dean Court.
His only other managerial role was in charge of Burnley, when he registered a win ratio of just 39% - a far lower tally than the 52% he has held during his second reign with Bournemouth.
To put that into perspective, Allardyce’s win percentage at the Bolyen Ground is 38%, just one percentage point lower than Howe’s at Burnley, and this is with Allardyce testing himself in a tougher league than the Championship and League One.
Admittedly, Howe has only had one job away from Bournemouth, and this small comparison could be a one off. However, his inability to work his magic away from the South Coast should give some fears to the West Ham owners before entering discussions with the highly-rated boss, in the knowledge that he could be just as average as Allardyce as been.