Remember the parable of the foolish virgins, who did not take enough oil for their lamps, and the wise virgins, who took enough oil to last until the Bridegroom came.
They WERE ALL VIRGINS (i.e. possessed physical purity)...
BUT, in Greek, the word for OIL is almost identical to the word for MERCY
So, Purity is a necessary condition, but it is not a sufficient condition, for salvation or enlightenment.