Steve Clarke will have to revitalise his charges as they fell to a 1-0 defeat at home to Southampton on Saturday courtesy of a 90th-minute penalty from Rickie Lambert.
Everton lead the head-to-head meetings in the league between the two sides, with 60 wins to West Brom's 54, but they took a win apiece in the Premier League last season.
West Brom have lost on their last two league visits to Goodison Park, their last success at the ground a 4-1 romp in November 2010.
Sylvain Distin is a doubt for the hosts after picking up a knock in the draw with Norwich but full-back Tony Hibbert could feature after returning to training on Monday. However, summer signing Antolin Alcaraz is definitely ruled out with a hamstring injury picked up in pre-season.
Everton manager Roberto Martinez would have been encouraged with his side's display during his opening fixture at the club.
Martinez witnessed the Toffees earn a 2-2 draw away at Norwich City, despite falling a goal behind early in the second half.
That performance could see the former Wigan man retain the same starting lineup, but striker Arouna Kone is pushing for a start.
West Bromwich Albion head coach Steve Clarke saw his team open up their Premier League campaign with a 1-0 home defeat to Southampton.
The Baggies succumbed to a last-minute penalty, and Clarke could opt to hand new striker Matej Vydra his full debut after he played the final seven minutes last weekend.
GOAL PREDICTS THE PL
16/1 Everton and West Brom are 16/1 with Bet365 to draw 2-2
Republic of Ireland international midfielder Darron Gibson could feature if he recovers from a knee problem that kept him out of the Norwich game but he will have trouble displacing Ross Barkley, who impressed against Chris Hughton's side.
"Distin is the one we're a little bit concerned about," Martinez told the club's official website, "but, knowing Sylvain, you can never say that he's not going to be available at the weekend.
Everton: Howard; Baines, Jagielka, Distin, Coleman; Mirallas, Barkley, Osman, Pienaar; Fellaini, Jelavic
West Bromwich Albion: Foster; Olsson, Ridgewell, McAuley, Jones; Yacob, Morrison, Dorrans, Mulumbu; Vydra, Anelka
