NRL chief executive Todd Greenberg is satisfied with Melbourne's two-game ban for Jesse Bromwich after his involvement in a drugs scandal over the weekend.

New Zealand captain Bromwich and Kiwi teammate Kevin Proctor were accused of consuming an illegal substance in the early hours of Saturday following the Test loss to Australia.

Bromwich was stood down from the club's leadership group and forced to donate his Test fee to a charity, while Proctor has yet to face sanction from the Gold Coast board.

He has already stepped down from playing duties for the Titans, as well as the captaincy.

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"Both clubs spoke to our Integrity Unit over the weekend about the parameters of those decisions. Ultimately they're decisions for the clubs," Greenberg told reporters on Monday.