Quote:
Originally Posted by Fincuan
Werewolves don't sleep 
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If by that you mean that you choose
never to use the Sleep function in an available bed or other accommodation, then you won't come into direct contact with the DB (other than receiving the warning note mentioned above, or being attacked by unnamed assassins). You'll never be given the opportunity to join them or destroy them. That questline just won't ever be completed. There is only one way to advance it now, and never sleeping will prevent that from happening.
If however you're just referring to the fact that being a werewolf denies you the Rested and Well Rested bonuses when you
do sleep, then that won't make any difference where the DB questline is involved. If you find a bed/hayroll/etc. and opt to sleep, not getting the full benefit of the snooze is irrelevant in this case.
Altho IIRC, if you never report back to the kid in Windhelm that you killed Grelod and receive payment from him, things never advance to the stage where the DB contacts you at all. But since you said the quest was marked off as complete I'm assuming you did that, in which case it's only a matter of time or of you choosing to never ever ever sleep again as your current character, werewolf or no.