The full details of the bid are currently unknown, however, it is unlikely to have triggered one of the many rumoured clauses in his contract.
Meulensteen has claimed that Morrison is keen on the move - a statement which could be argued is an outright attempt to unsettle the player.
Speaking after last night's FA Cup third round replay victory over Norwich, Meulensteen put truth to a rumour which has lingered since before the start of the transfer window.
The Dutchman has made no secret of his desire to link up again with the England U-21 midfielder after they previously worked together for a period at Manchester United.
But why would Ravel be keen on a switch to from East to West London?
The Cottagers are amongst the favourites for the drop, having already conceded a massive 46 league goals this season.
Whilst West Ham, off the back of their hard fought defeat of Cardiff at the weekend, will be boosted by the return of big Andy Carroll - amongst others who have been sorely missed during their awful losing streak.
It could be argued that both sides face the very equal prospect of relegation if their fortunes don't turn around. But when England Manager Roy Hodgson sends affirmation to Ravel that his performances have been noted as we enter a World Cup year, would it be wise to swap one potential relegation battler for another?
Bigger clubs in better areas of the table have been rumoured to be looking at acquiring Ravel Morrison, so what sense would there be in a mid season switch across the city for a similar chance of playing Championship football next season?
It's certainly arguable Meulensteen's style of football and coaching may be preferable to that of Big Sam, but if the player is trying to hedge his bets in terms of a relegation battle, he is running a risk of backing the wrong horse.
image: © Will bcfc