According to Sbs6.nl Babel and Van Persie might put their extensive training routines on hold due to minor aches and pains.
The Liverpool star is suffering from a strained hamstring he picked up last week, while Van Persie, who has just returned from a serious ankle injury that sidelined him for six months sustained a similar injury during their friendly match against Mexico, which they won (2-1), thanks to his brace.
The duo are expected by the coach Bert Van Marwijk to be fit in time for their opening match against Denmark in Johannesburg on June 14.
The Netherlands are drawn in Group E with Denmark, Japan and Cameroon.