Carvalho had been interesting West Ham's fellow top tier sides in Tottenham Hotspur and Crystal Palace but, providing there are no issues with his medical and other small negotiations, the midfield enforcer should become a West Ham player before the window closes in September.
And The Mail reports that the Portugal global would be rewarded with a £100,000-a-week deal if he signs for Slaven Bilic's side this month.
That has naturally made West Ham wary but they are hopeful they can broker a compromise involving Carvalho's new agent Pere Guardiola, brother of Manchester City boss Pep.
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Tony Pulis even travelled to Lisbon in April to watch the 25-year-old during a 1-1 draw with Benfica, but nothing materialised.
Carvalho has also agreed personally terms of £55,000 per week with the Hammers and is ready to sign a five-year deal with Bilic's men if the respective clubs can agree a fee, according to Claret and Hugh.
Portuguese newspaper A Bola linked the Gunners with a double swoop for Sporting CP pair William Carvalho and Gelson Martins, but again, nothing has yet materialised from the ongoing transfer rumours. Will he FINALLY make a move to England?