The goalkeeper could be facing a battle to retain his place as England's number one, having been left out of David Moyes' side to face the Blues
Joe Hart has been dropped for West Ham's Premier League clash with rivals Chelsea on Saturday.
The England goalkeeper missed last week's 2-1 defeat to Manchester City as he was ineligible to play against his parent club, with Adrian impressing in his stead at the Etihad Stadium.
Manager David Moyes has kept faith with the Spaniard for the visit of the champions to London Stadium, with Hart on the bench.
Captain Mark Noble returns to the starting line-up after missing the defeat to Pep Guardiola's side.
Moyes' decision to favour Adrian is likely to cast some doubt on Hart's place as England's first-choice goalkeeper at the World Cup, with boss Gareth Southgate unlikely to select the City loanee as his number one if he is unable to regain his spot at club level this season.
Chelsea make one change from the midweek Champions League draw at home to Atletico Madrid, with Marcos Alonso replacing Victor Moses.