Allardyce has been strongly linked with the job at Sunderland after Dick Advocaat announced he would be leaving the Stadium of Light after being appointed as Head Coach in March and guiding the Black Cats to Premier League safety.
Otherwise, the report seems to indicate that it would have been a good move for both parties, as Ellis Short seems keen to appoint an experienced man to take charge of first team duties on Wearside and ensure that their Premier League status is secured in perhaps slightly less dramatic circumstances next time around.
Allardyce arguably enhanced his reputation at West Ham, after getting the side promoted from the Championship via the play-offs re-establishing the Hammers in the top-flight for the past three seasons, even if there have been a few hairy moments along the way.
When the Premier League season gets underway, it won't be long until people are talking about the sack race - particularly if one side gets off to a terrible start and it appears as though they could struggle for survival going forward. Depending on whether the former Bolton, Newcastle and Blackburn manager has had sufficient time off to recharge his batteries by then, he could be returning midway through the 2015/16 season to one club or another.