On Friday, officials reported 7,212 new infections, bringing the total tally of infections to 1,136,048.
In the capital, new cases rose by almost 50% overnight to 1,560 from 1,050 on Thursday.
Russia lifted most of its lockdown restrictions in June, and shops, businesses and public transport in Moscow are largely operating as normal.
But mayor Sergei Sobyanin recommended that the heads of all companies in the capital switch as many staff as possible to working from home from Monday.
Sobyanin also advised anyone with chronic health problems or those over 65 to stay at home except in urgent circumstances.