"The [Russian] crisis with PACE is a problem for all the Council of Europe, not just for the Assembly," Pushkov told RIA Novosti.
According to Pushkov, Moscow is not currently considering withdrawing from the Council of Europe.
"But I think there is a very serious question about the basis on which we will continue to act within the framework of PACE," he added.
Russia was accepted into the Council of Europe, a regional intergovernmental organization, on February 28, 1996. PACE is considered to be Europe’s oldest international parliamentary institution.
A PACE resolution in April 2014 deprived the Russian delegation of its voting rights, after Crimea became a part of Russia. Russian lawmakers were barred from participating in PACE's three key bodies — its bureau, presidential committee and standing committee. The 2014 resolution curbing Russia’s rights in PACE was renewed in April 2015.
The assembly's winter meeting took place on February 25-26.