The midfielder has been one of the Hammers’ few consistent performers during an erratic opening few months of the season, providing a calming influence in the middle of the park.
His displays have alerted Newcastle and Everton, with both clubs thought to be in the market for reinforcements once the transfer window re-opens.
Noble – a product of the London club’s famed academy system – is a fans’ favourite and firmly established at Upton Park, however both the Toffees and the Magpies are hopeful that he can be tempted away with the promise of regular action in a side competing for European qualification.
The 26-year-old could also see a big winter move as a potential stepping-stone to a spot in England’s World Cup squad, for which he has been mentioned as a potential outside candidate.
West Ham will be far from keen to let their playmaker move on, but if Noble actively pursues a switch they may be unable to keep him.