Tate has seen the majority of the workload during the pre-season while Foster recovered from a hamstring and back injury.
The head coach told reporters: "Yeah, we're going to rotate. First off, I think Arian's conditioning is excellent. His practice this week has been just excellent.
"He's a worker. That's why he'll play well. I've been impressed with how he's held up, but obviously it's early in the season. I don't know how warm it's going to be up there, but I think we're smart in playing them both.
"Obviously, we'll see how Arian holds up from that standpoint. I don't think we're looking at the majority load that we normally look at when he's rolling. We'll see how does, but he's been good."
The Texans will play the San Diego Chargers tomorrow.