The "2014 World Cup Law", detailing the proposed change, was presented by a commission of lawmakers on Tuesday, Agencia Camara, the news agency for Brazil's lower house of congress, reported.
The legislation, which still needs approval at three separate stages, is a pointed concession to FIFA who want to protect the commercial interests of their sponsors.
If the law were to be passed, selling drinks would become legal at grounds throughout the country, not just those staging World Cup matches, though only in the stadiums' licensed bars and restaurants.
Deputy Vicente Candido, who wrote the bill, described it as a "necessary security measure", Agencia Camara said.
The discounted ticket prices would be capped at a maximum of 50 Brazilian real ($27.86) each in the bill's proposal, though FIFA have been granted the right to fix the exact price.
The bill is a result of discussions between President Dilma Rousseff's government and FIFA over their conflicting demands, which have included protection of sponsors and facilitating visas for foreign visitors to the country.
