Putin was questioned about the ban Thursday when he and FIFA president Sepp Blatter met with fans in St. Petersburg as part of commemorations of the 100th birthday of the Russian soccer federation.
As president, Putin signed a 2005 law banning beer and beer advertisement at sports venues.
He told the fan who asked about lifting the ban that "when the decision was made about stadiums, it came from the best of intentions. OK, we'll return to it again and think about it."
Blatter noted beer is popular among fans, saying "beer is like a part of life. Can you imagine holding a championship in Germany without beer?"