Russian authorities deny there was a state-backed doping programme, but have pledged to follow international recommendations to get the suspension lifted.
WADA's compliance review committee will hold a special meeting on Oct. 24 to hear a report on the audit, the anti-doping agency said in a statement after its executive board met in Paris.
The review committee will then make a recommendation to WADA's board meeting in November on whether to reinstate RUSADA.
The Russian agency last month appointed a new director general as part of Moscow's push to rehabilitate its tarnished sporting image and overturn a ban on most of its track-and-field athletes competing internationally.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
The executive committee, which heard a report on Russia's progress, again emphasised RUSADA must fulfil a roadmap it developed with WADA and Russian officials before any recommendation on reinstatement can be made.
This includes Russia publicly accepting the outcomes of the McLaren investigation into the country's doping violations and providing access to stored urine samples in the Moscow laboratory.
More than a dozen national anti-doping agencies have called for Russia to be banned from the 2018 winter Olympics in Pyeongchang, South Korea, but WADA President Craig Reedie has criticised the agencies, saying the request was not helpful.
(Reporting by Gene Cherry in Raleigh, North Carolina; Editing by Christian Radnedge)
