According to local media, Russia confirmed 7,113 new coronavirus infections on Thursday, bringing the country's official number of cases to 613,994.
The country's one-day increases in new cases have fallen to their lowest levels since April.
Over the past 24 hours, 92 people have died, bringing the total toll to 8,605 — a rate considerably lower than in many other countries hit hard by the pandemic.
A total of 6,342 people recovered have over the last 24 hours. The overall number of recoveries reached 375,164.
Moscow lifted restrictions including compulsory travel passes on June 8, a move welcomed by residents who rushed out to enjoy the streets and parks.
Many other regions are lifting lockdown restrictions as Russia is preparing to hold a July 1 national vote despite the pandemic.
Russia attributes its lower virus death figures to mass testing, which has identified many cases with mild or no coronavirus symptoms.