Van de Ven was clocked at 37.38 km/h when he raced back to catch Brentford's Lewis Keane-Potter last week, surpassing Manchester City's Kyle Walker as the fastest player in the top flight since the records began four years ago.
Postecoglou says Van de Ven, a summer signing from Wolfsburg, is good enough to use his speed effectively and believes the 22-year-old still has huge scope for improvement.
"Obviously we knew what we were getting with Micky from a physical perspective," Postecoglou said ahead of Saturday's visit of Brighton. "There was plenty of evidence that we'd already seen that his speed and his ability to recover was elite, for sure.
"But then it's not just about running fast. Football is more than that. It's more than just speed, you've got to use that in the right way. I'm really impressed with how he's adapted to Premier League football.
“He's up against the top strikers every week ... his ability to use that speed in an effective way in terms of his defensive work I think has been outstanding for a young man in his first year.
"Don't forget before he came to us he'd only had one year in the Bundesliga. There's so much more to come from him but I've been really pleased with the way he's gone up to this level and used what he has as his strengths.”
Van de Ven was ruled out for nearly three months after pulling up with a hamstring injury when sprinting back to cover in the defeat to Chelsea on November 6.
He had a really good rehab programme and hasn't missed a beat since he got back
Postecoglou on Van de Ven's injury return
Asked if he now grimaced seeing the Dutchman running at full speed, Postecoglou said: "No, you can't think of it that way. It's his game.
"He had the injury against Chelsea and there's always a possibility with high-performing athletes but he had a really good rehab programme and he hasn't missed a beat since he got back.
“Obviously last week we pushed it to the maximum with a short turnaround between Brentford and Everton but we got through it OK and he's good to go."
Postecoglou was a defender himself as a professional player in Australia and says pace was also one of the pluses of his game.
"I was quick," he said. "Don't look at me now, to be fair. But I was quick, it was one of my strengths."