Slaven Bilic has come under fire after a poor start to the season.
Coleman’s contract with Wales expires whenever their World Cup 2018 campaign ends.
And that could be as early as a week tomorrow should results go against them in their final two qualifiers – against Georgia and the Republic of Ireland.
If Wales – currently second in Group D – finish outside the top two, then Coleman’s brilliant five-and-a-half-year reign will be over.
And that could be the signal for the Hammers to make an approach to the Welsh chief.
Despite yesterday’s home win over Swansea, current Irons boss Bilic remains under pressure.
The Hammers face a crunch October in the Premier League with games against Burnley, Brighton and Crystal Palace.
Italian Carlo Ancelotti, 57, is also in the running to replace the Croat following his shock sacking by Bayern Munich.
But West Ham chiefs David Sullivan and David Gold may wait to see what happens to Coleman and Wales before a final decision.
Whether the Red Dragons coach would be tempted by a return to the Premier League remains to be seen.
