The Reds have been hit by off-field wrangles with co-owners Tom Hicks and George Gillett at loggerheads.
"We've got to concentrate on Fulham," insisted Carragher.
"If we took our eye off them we could end up losing and maybe with it a bit of confidence for when we play Chelsea," he said.
"Fulham are fighting for their lives and it will be tough. They need the points as much as us.
"We must keep our form going as Everton will take it to the wire."