The Hammers have suffered defeat in each of their opening three top-flight matches this season, but Bilic is able to call upon Carroll after a spell out with injury.
As for Huddersfield, head coach David Wagner has decided to retain the same starting lineup for the club's trip to England's capital.
The Terriers are currently unbeaten this season, and Wagner has avoided the temptation of tinkering with the team which registered a goalless draw with Southampton.
West Ham United: Hart, Collins, Reid, Fonte, Zabaleta, Obiang, Kouyate, Cresswell, Antonio, Carroll, Hernandez
Subs: Adrian, Ogbonna, Byram, Masuaku, Rice, Ayew, Sakho
Huddersfield Town: Lossl, Smith, Zanka, Schindler, Lowe, Billing, Mooy, Kachunga, Ince, Van La Parra, Mounie
Subs: Coleman, Hefele, Malone, Sabiri, Williams, Depoitre, Hadergjonaj
Follow Monday's showdown with Sports Mole's live commentary.