Morrison has been troubled by a hamstring problem in recent weeks but has benefited from time spent at the club's four-day training camp in Spain.
The Baggies are eager to lift themselves off the foot of the table, and Scotland international Morrison is focused on ensuring he is available for the weekend trip to Craven Cottage.
He said: "It has been a decent trip to Spain. The weather has been decent and the training has been good.
"It has also helped to bond the lads together ahead of the run-in to the end of the season.
"From my viewpoint, I've been able to take part in all the training sessions in Spain and I have had no problems.
"Touch wood, I'm over the injuries and will be OK for Sunday."