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Last season's beaten finalists, the Belfast-based side are the only professional team in Europe without a blemish on their record this season and their bonus point triumph at Franklin's Gardens put them six points clear of Castres Olympique in the Pool.
"You've got to give a lot of credit to Ulster. They stopped us playing our game, stopped us getting quick ball and stopped us playing," Saints director of rugby Jim Mallinder admitted after his side's 25-6 home defeat.
"We've got one almighty challenge next week, and that's what it's all about. We need to learn the lessons, dust ourselves down and make sure that next weekend we're up for it.
"We've got to make sure that we come back on Monday fighting - we need a massive reaction. We've got to think about our season, and to get our season back on track we've got to win next week."
The power of the Ulster pack was a bit of a shock for returning Saints skipper Dylan Hartley and he wasn't happy with his team's performance.
"We pride ourselves on our physicality and how we play at home, but you've got to turn up and we didn't do that. That was not good enough from us," said Hartley.
"We speak about intensity, they brought bags of it and we didn't bring enough.They are unbeaten and they showed why.
"They are a good team but we made them look better than it could have been. We've got a massive challenge next week, but anything's possible."
The last team to win at Ravenhill in Europe were Stade Francais Paris in Round 1 in the 2008/09 campaign. They won 26-10.
