Former Hammers full-back Dicks, a team-mate of manager Slaven Bilic in their playing days at Upton Park, was named first-team coach last summer.
Ex-Norwich and England keeper Woods has been goalkeeping coach at the club since last summer, working with first-choice Adrian and back-up Darren Randolph who is at Euro 2016 with the Republic of Ireland.
Woods told the club's official website: "Slaven has made me feel so welcome and he has been fantastic to work with since the day I arrived
He leaves no stone unturned and his enthusiasm rubs off on everybody.
"It has been a great privilege for me to work for a club with such great tradition
Hopefully we can grow even stronger."
Source : PA
Source: PA