The Chiefs boss believes that his team must remain focused if they are to overcome the attacking talent of Quins.
"We know they are dangerous," Baxter told reporters. "They like to play a high-tempo game, but they can also grind things out if necessary. They have not had the success they've had by being one-dimensional.
"Obviously, they've got a number of key players who can break the game open for them, so we will need to keep an eye on them."
"All week we have talked about being alert and aware for 80 minutes. That's always the challenge, but it always gets tougher against the better teams."
Exeter currently sit fourth in the table while Quins occupy the seventh spot.