NATO foreign ministers said after talks on Tuesday that the alliance was freezing contacts with Russia until it pulls its troops out of Georgia, but stopped short of stronger measures.
"We are not planning to slam the door, and they are also keeping the door open. Everything depends on the priorities that NATO chooses, not on us," Lavrov said.
"If these priorities move toward reckless support for Saakashvili's bankrupt regime, and if the price they are ready to pay is to sever relations with Russia, this is not our choice," he added.
The Russian top diplomat described as critical Russia's partnership support for NATO, referring to the international operation in Afghanistan, where he said "the alliance's fate is being decided."
Russia's envoy to NATO Dmitry Rogozin will return to Moscow later this week for consultations with the country's leadership on cooperation with the military alliance.
Russia has been pulling back its troops from the Georgian-South Ossetian conflict zone since Monday.
