West Ham have claimed two victories in the past three league meetings, as many as in their previous 22 attempts (D7, L13).
Everton could lose five consecutive league fixtures for the first time since October 2005, when they equalled the club top-flight record of six straight losses.
The Toffees are also on the cusp of matching their club Premier League record of three consecutive home defeats.
Only Watford and Newcastle have scored fewer goals than Everton’s six.
Everton have conceded a league-high 22 set-piece goals since the start of last season.
West Ham are unbeaten in six away league games (W3, D3). Their Premier League club record is seven matches, set in January 2009.
The Hammers have outscored their opponents by 11 goals to five in those six away fixtures.