According to talkSPORT, the 27-year-old full-back was on Slaven Bilic's radar in the summer but he eventually stayed put at the San Siro.
He is already regretting that decision, though, having not played in the league this season and talkSPORT claims the ex-Torino man is set to leave when the transfer window opens in the new year.
Reports in Italy have suggested that Fiorentina, who had been leading the way in Serie A up until last weekend, are the new front-runners to land him.
La Viola want D'Ambrosio on loan deal until next summer with a view to purchasing him then should it prove to be a success.
Under contract at Inter until 2018, former Italy Under 21 international D'Ambrosio, played just 23 times last season.
And with Inter being top of Serie A after 10 games, his chances of forcing his way into the side look slim.
Do West Ham need him anyway?
But is it such a big loss to West Ham?
Slaven Bilic's side are the dark horses of the Premier League season so far and are sitting pretty in third place after 10 games.
They boast the best away record in the league and are the second highest scorers all while grabbing the headlines with eye-catching victories over Arsenal, Liverpool, Manchester City and Chelsea already so far this season.
Could Collins hold the key?
Bilic has assembled what is widely regarded as the strongest squad West Ham have had since the Boys of 86 season when they finished third and should have won the title.
Among the new recruits was D'Ambrosio's fellow Italian Angelo Ogbonna who has been hugely impressive since singing from Juventus for £8 million in the summer.
He has spent the last month on the sidelines through injury but is back now giving Bilic a real headache in defence with four top centre backs all fit.
Any new players coming in would have to be a step up, which D'Ambrosio is not.
But that could change should the Hammers's Welsh international defender James Collins leave in January in search of game time to ensure he keeps his place in his country's Euro 2016 squad as he recently intimated on the club's official website.