The Russian Football Union (RFU) has appealed FIFA and UEFA bans on its football teams.
The football governing bodies suspended Russia from competition on February 28 following the country's invasion of Ukraine.
"The RFU will demand the restoration of all men's and women's national teams of Russia in all types of football in the tournaments in which they took part (including in the qualifying round of the World Cup in Qatar), as well as compensation for damage," the RFU said last week.
"In order to ensure the possibility of the participation of Russian teams in the next scheduled matches, the RFU will insist on an expedited procedure for considering the case."
The Court of Arbitration for Sport said a decision on the appeal could come in the next few days.
Russia's men's national team had a scheduled World Cup qualifying match against Poland on March 24. Poland has refused to play.
The winner of the match would play either Sweden or the Czech Republic, both of which have refused to play Russia.
Polish, Swedish and Czech soccer federations and federations from other nations will participate in the appeal process.
A wide range of sporting bodies have taken steps to ban or limit the participation of Russian athletes.
Some information in this report comes from The Associated Press and Reuters.
