On Sunday, the Astros became the second team to face Strasburg since his return from Tommy John surgery a week ago.
"We know he's a power pitcher, so you try to approach him that way," Mills said. "We've looked at him on film and we'll go from there."
Though the team will try to avoid getting caught up in the moment, several players mentioned that they enjoy being challenged by tough pitchers like Strasburg.
"You want to be aggressive, because he's going to throw strikes, but at the same time you need to be patient enough to wait for a good pitch," Jordan Schafer said. "When you face guys like that, it's fun. It's a challenge."
Mills would not reveal much of his strategy, though he mentioned that his team has a better chance if Strasburg continues to throw good pitches early in the count.
"With those types of pitchers, you don't want to get too deep in the count," Mills said. "At the same time, you're hoping that he's trying to get ahead in the count. If he's trying to get ahead in the count to lower his pitch count, that will be a better approach for this type of ballclub."
Strasburg threw five scoreless innings in his first start against the Dodgers.