The report also alleged that some Russian athletes have actively avoided taking tests, while anti-doping officials have been threatened by security personnel and Olympic qualifier events have been held in restricted access areas.
"I am not familiar with the details of the report and I do not know what these assertions are based on. Of course, this needs a thorough investigation by our sports authorities, and until this analysis is complete, I do not think that I can say anything insightful as it is unclear what WADA bases on," Peskov told reporters.
The WADA report comes just days before the International Association of Athletics Federations (IAAF) June 17 decision on Russian athletes' participation in the upcoming 2016 Summer Olympics in Rio de Janeiro.
Peskov did not comment on Russia's possible moves in case the national athletics team is banned from the Games.
In December 2014, German ARD channel released a film titled "The Doping Secret: How Russia Creates Champions" on alleged doping abuse and corruption in Russian sports. The film was followed up by documentaries with further allegations.
Following the release of the film, WADA launched an investigation into the allegations of doping abuse in Russian sports. In November 2015, WADA's Independent Commission issued a report accusing Russia of numerous breaches of global anti-doping regulations. The IAAF temporarily suspended the Russian Athletic Federation's membership as a result.
The Russian authorities have promised to carry out a clean-up program to fulfill the WADA demands in order for the country's athletes to be allowed to participate in the 2016 Olympics.