The Swedish stopper is currently sidelined with a knee problem and has not featured for the Baggies since the beginning of last month.
But Olsson, who joined the club last summer from NEC Nijmegen, has his sights set on the trip to Goodison Park on 28th February.
He told the club's official website: "Last week I made some progress and I am feeling a lot better.
"Hopefully it will just be a few more weeks more before I'm back. It may not be for the Fulham game but hopefully after that against Everton."