Despite upping their offer to 30 million euros the Irons are still waiting for a final nod from Sporting Lisbon that the 25-year-old holding midfielder will be switching to the London Stadium.
The Portuguese outfit have a 39 million euros buy out clause on the player and the Hammers want to make up the 9 million shortfall with add ons.
Slaven Bilic is desperate to get a player who can ensure the team is nothing like as easy to pass through at the back which was a regular issue last season.
And the Hammers negotiators are still deep in talks with the player believed to have agreed to a five-year deal.
Carvalho was missing from the Lisbon line up which beat Vitoria 1-0 on Friday having been replaced by the newly signed Rodrigo Battliga – believed to be his replacement long term .
And Carvalho has made it crystal clear to his club that he is desperate to make the switch to the London Stadium.
A Hammers source told ClaretandHugh: “We are negotiating hard but as things stand at this moment the deal has not been completed.”