The safety made his debut for the AFC South side against his old team, the Baltimore Ravens, last week.
Phillips told reporters: "He kind of just dipped his foot in the water. He was in the middle most of the time. He really had an uneventful game overall because they didn't make that much.
"He was never able to be a factor because the only pass they had was outside, one big play and one short crossing route. That was the only two plays they had in the game.
"He ran better this week. He showed full speed, I guess. I think he was more than three-quarter speed all along but he showed some full speed things today, yesterday and today that we hadn't seen."
Reed, who has been recovering from off-season hip surgery, made three tackles during the game.