Laws is still waiting for a win since succeeding Owen Coyle, who moved to North-West rivals Bolton, and the pressure is mounting.
But McCann has backed his new boss and can imagine no better place for Burnley to record a first away victory in the Premier League than Tuesday's trip to Coyle's Bolton.
"Everyone has got to get behind the new gaffer and give him encouragement," said McCann in The Sun.
"It was a big blow losing Owen Coyle but Brian Laws is a top coach and we have to give him our all.
"Everyone wants to keep talking about our away record and there would be no better time to get it than against Bolton on Tuesday."