Everton boss Ronald Koeman is targeting fifth-placed Arsenal.
West Brom and Hull are the visitors to Goodison Park before the Toffees head to near-neighbours Liverpool for the Merseyside derby.
Koeman has challenged his players to win both games at home in order to maintain the pressure on teams in the top six, with fifth-placed Arsenal only six points away, albeit with a match in hand, but seemingly in crisis.
"I still believe in when we win the next two games at home that still something is possible above us in the table," said Koeman.
"But that starts with six points and starts this Saturday.
"Arsenal are normally strong and have good players, so it will be really tough to catch them. But maybe after six points then we come closer and then maybe something is possible.
"It starts always by yourself, don't look too much to other teams. If you win we come closer and that is the most important."