The Russian Olympic Committee said in a statement (in Russian), that it had received the information in “official documents” from the International Olympic Committee (IOC), BBC reports.
The IOC earlier said up to 31 athletes could be banned from the Rio Games.
The Russian Athletics Federation said any athlete found to have used doping in previous years would not go to Rio.
It said it took “such a tough decision” in order to do everything possible that only “clean athletes” could take part at the 5-21 August event.
On Thursday, the Russian Olympic Committee said it would not name 14 athletes from three sports disciplines until their B samples had been checked and official disciplinary proceedings had started.
It said this was in accordance with IOC anti-doping rules.
Last week, the IOC announced that 454 selected doping samples from the 2008 Games had been re-tested.
The IOC said the re-tests were conducted using the very latest methods of scientific analysis.
Earlier this month, a whistleblower alleged Russian secret service agents helped to protect drug cheats at the 2014 Sochi Olympics, although the Russian authorities denied the claims.
The World Anti-Doping Agency (Wada) is now investigating those allegations and has appointed former Interpol agent and French Gendarmerie Major Mathieu Holz to lead the inquiry.
Russia was banned from athletics competition in November after a Wada commission report recommended the sanction.