Freiburg were among the Bundesliga's surprise packages last term when they finished fifth, only narrowly missing out on a place in the Champions League.
That form led to clubs picking off their prized assets this summer, but Hyypia is certain his opposite number Christian Streich will have his team playing equally successful football as the new league campaign begins.
"There have been a few changes there, but Streich is bound to get his mentality over to the team," said the Finn. "We're going to have to play quickly to cause Freiburg problems and create chances."
Leverkusen's squad has also changed this summer.
Germany international Andre Schurrle has moved to Chelsea, with Son Heung-Min arriving from Hamburg to take his place.
"He's technically very strong, two-footed and very quick and dangerous," said Hyypia in the Express newspaper of the South Korean. "He's also a player who works a lot for the team.
"In my eyes, he's a player with a great deal of quality."
Son should make his Bundesliga debut for Bayer on Saturday after scoring in the DFB-Pokal last week.
There could be a host of debutants in the Freiburg team, and Streich has employed his usual philosophical style to explain how far he believes his team has come through pre-season.
"We've got our shoes on, we've closed the door behind us and we are on our way," he said at a press conference. "But we have only just turned the corner outside the door.
"The (newcomers) have to settle in still and they are faced with lots of new things, including how we play our football here.
"I want them to feel free, to run, fight and work. That is the priority, all the rest is secondary."
Mike Hanke, Hendrick Zuck, Francis Coquelin and Gelson Fernandes are the most likely new faces in the Freiburg team tomorrow.