The Russian central bank said that the war could have a negative impact on the economy.
The draft could affect production and the economy.
Over 300,000 Russian men and their families have left the country.
After a number of rounds of sanctions against Russia, President Putin's economic regime seemed to be holding up.
Many Russians fled the draft after Putin ordered a "partial mobilize" of the military in September.
The Central Bank of Russia's research department said in a report that the recovery of economic activity stopped in September. The economic conditions had worsened by the end of the month.
The central bank of Russia didn't mention those who escaped from the call-up, but it did say that the call-up has created new challenges for production processes. Consumer and business confidence are expected to be negatively affected by it.
The bank said that it could make it harder for companies to hire in Russia because of the low unemployment rate.
According to reports from other countries, more than 300,000 people have left Russia since Putin's call to action.
Morning Consult said in a report last week that consumer and business confidence in Russia fell in September after it had improved through the summer.
Morning Consult said in an email to Insider that Russians appeared vulnerable to the economic impact of the invasion.
The decline in consumer sentiment may temporarily hold back a recovery in consumption at the beginning of the fourth quarter of 2022.
Morning Consult analysts said that September's events won't push Russia into an immediate recession.
Business Insider has an article on it.