The Glasgow camp say they expected the Saints' pack to provide a big challenge at scrum-time but they were unable to counter the pressure exerted by the visitors at Scotstoun on Saturday.
Speaking after Saturday's game stand-off Finn Russell said: "Like a lot of English teams, they focused on the set-piece with big forwards.
"We knew it was always going to be a hard day for the forwards. For the backs, we got some good ball and we managed to create things but they had a good game plan and they stuck to it."
Last season Bath lost their opening two matches and still qualified, but that was the first time it has happened so the Warriors know they can't afford another slip-up.
"It's still the same," said the Scotland stand-off. "We want to win all our games but obviously this was not one of them but now we need to win four or five of the next five games to qualify.
"That's not us out of the tournament at all. It makes it a bit tougher for us but we are definitely not out of the tournament."