White, 28, has been a healthy scratch for the past five games, including a 3-0 win against Edmonton on Thursday night.
According to the Detroit News, White didn't ask for a trade when talking to Holland but does wonder about his future with the Red Wings.
"We're not there yet," White said. "I was just voicing this is game five and you can play so many games in a condensed period and [the schedule] can get away from you pretty quickly. After the weekend here, that's seven straight games if you don't play.
"We have [defenseman Carlo] Colaiacovo coming back right away and I just wanted a determination of where he [Babcock] thinks you fit and where Kenny thinks you fit, now and going forward as well."
White is an unrestricted free agent after this season. His present cap hit is $2.875 million.
He hasn't played since Feb. 24 against Vancouver when he went -2. In fact, in his past four appearances, he is a minus-4. He has one goal and one assist in 14 games this season.
For his career, he has 44 goals and 133 assists in 492 games. He is less than a year removed from the career-best 32-point season he posted with Detroit last season.