Their home record of eight wins and three draws from 14 matches has kept them in 10th place but two successive defeats at Craven Cottage suggest that form may be faltering also.
By contrast Wanderers have won their last three at home, but Megson insists that is no guarantee of success this weekend.
"They haven't had a win away from home but they have had some creditable performances," he said.
"You do read a lot into the manner in which teams gain results but you don't look back and think 'They have not won a game away from home this season, this is nailed on', you look at their recent games.
"Two months ago people were saying our away form was good but we couldn't do anything at home.
"We have managed to turn it around at home and away from home we have slipped up.
"What we have to try to make sure Fulham don't do is turn it around and start winning away from home.
"They don't score a huge amount of goals but their defensive record is fantastic.
"They look well organised and they have quality in there but they look as though they have had a wobble at home in the last few games.
"It is not good from their point of view and they are going to want to come here and arrest that slide."
Bolton's players have a point to prove after their last outing, a 2-0 defeat at Stoke on March 4, and the club are hoping to boost numbers in the Reebok crowd by slashing ticket prices to £10.