De Vrij suffered a hamstring injury in the closing stages of the Oranje's 2-2 away draw to Montenegro on Saturday and was replaced by Matthijs de Ligt.
The Inter centre back has now been ruled out of the Netherlands' final Group G game against third-placed Norway at De Kuip, so De Ligt is set to start alongside captain Virgil van Dijk.
Coach Louis van Gaal has not called up a replacement for De Vrij.
The Netherlands lead Norway and Turkey – who are away to Montenegro on Tuesday – by two points, and a draw should be enough for them to qualify for the tournament in Qatar next year due to their far superior goal difference.
It appeared to be mission accomplished for the group leaders when Memphis Depay's double put them in control at Podgorica City Stadium, but late goals from Ilija Vukotic and Nikola Vujnovic prevented them from getting the job done.
The Netherlands will not have the backing of a partisan crowd against Norway, as the game in Rotterdam will be played behind closed doors due to coronavirus restrictions.
