The duo are both key parts of Sam Allardyce's long-term plans and the Hammers' hierarchy do not want to take any risks over their futures.
Sakho only signed for the London outfit this summer, but his form for the Hammers so far has already landed him a pay-increase.
The striker has netted seven times in his first 10 games and he is close to triggering a clause in his contract with will see his wage rise by £10,000.
Sakho still has four-and-a-half years left on his current contract, which is worth £15,000, but his new salary should represent his worth to the squad.
Noble, meanwhile, will be offered a three-year extension to his deal which, if he signs, will keep him at the Boleyn Ground until 2018.
Noble's existing deal expires in the summer, but he has no intentions of leaving the side and is expected to sign the contract which will be offered to him in the near future.
The commitment of the two players will please West Ham supporters who have seen the consequences of leaving contract situations to run until the last minute already this season.
The Hammers are in danger of losing Winston Reid on a free transfer in the summer after failing to tie him down and to lose Noble or Sakho in similar circumstances would have been a bitter blow.