The Toffees dominated possession in the first period but created few chances against a stubborn Baggies defence until Kevin Mirallas netted after Ross Barkley's shot was parried. "If we get six points out of that, it's nice to play Liverpool and Manchester United away because you can do more".
"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.
Barkley has always been touted as one of the country's finest young talents but his trajectory since making his Everton bow six years ago has not quite met those expectations.
Everton's nine-match unbeaten Premier League run, stretching back to mid-December and garnering 21 points, was ended by a disappointing performance at Tottenham last weekend.
Everton took the lead in 39th minute when Kevin Mirallas pounced to tap in after Ben Foster pushed Barkley's shot straight out into the area and Schneiderlin made it two before Romelu Lukaku headed home Barkley's ideal second half cross. Subs: Funes Mori 5, Gueye 5.
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Probably viewed as a rather unlikely battle at the start of the season, Everton extended the gap on their seventh-place rivals West Brom - as tension continues to build towards the final stretch of the campaign.
"The boy is so strong, so good on the ball".
28' - LUKAKU MISS: Davies' cross is blocked for a corner.
In being the first to reach 20 in all competitions in successive seasons since Bob Latchford, he brought echoes of their past on a day when Everton paid tribute to another former Goodison great, the late Alex Young.
Where can I watch Everton vs West Brom? Lukaku set up the goal using his strength before playing the through ball to his compatriot.