The Baggies slumped to a lacklustre 2-0 loss at Craven Cottage and have not won since 17th January.
They are currently propping up the Premier League in 20th place, but have not lost touch in the relegation fight due other results going their way.
Morrison is well aware of the need to start winning matches before the gap to safety becomes insurmountable.
"The results were okay for us on Saturday, which is a good thing because Sunday was so disappointing," he told the Birmingham Mail.
Gap"We always try and go out to win but for some reason on Sunday we weren't at it.
"We've got a chance to put it right before a gap appears at the bottom of the table and we're looking forward to Saturday.
"But we hold our hands up with Sunday's result."
The 22-year-old midfielder has revealed that the whole squad was hurt by the loss to Fulham but insists they will do whatever they can to turn their season around.
"Every week is a worrying week because of where we are - it's not nice. All the players are determined to put it right," he added.
"I think Everton will be a harder game than Fulham but something has got to change quickly.
"It was a bad day and we're all hurting inside. Hopefully we can put it to bed quickly and move on."