A host of clubs have been looking to pounce and Italian giants Roma have agreed a £34million fee for Abraham.
Should West Ham make a late move for Abraham?
However, The Athletic reporter David Ornstein revealed Abraham is unsure of a switch to Serie A and Windass thinks West Ham should hijack the move.
West Ham boss David Moyes is looking to bolster his squad after a club record Premier League points tally sealed a spot in the Europa League.
However, the east Londoners still only have one recognised centre forward in the form of Michail Antonio and ex-Premier League frontman Windass believes Moyes could come up with a clever proposition which would please Chelsea and Abraham.
He exclusively told TIF: “I think West Ham could try and get him on loan with a view to a permanent deal.
“They could then see how he does and stay on the safe side. They could give Chelsea so much of their valuation up front and then if he does well by January, give them another £10million or £15million.
“West Ham could meet Chelsea’s price tag in instalments.”