The statement came after the New York Times quoted a source in the International Olympic Committee (IOC) saying Russia would be allowed to participate in the Pyeongchang Games with certain limitations.
"We obviously don't want to talk about the worst case scenario, which is to say Russia's non-participation in the Olympics, because that would be a great loss to the whole Olympic movement," President Vladimir Putin's press secretary Dmitry Peskov told journalists.
"At the behest of Russia's president our sports officials are carrying on a dialogue with the IOC and its representatives. We hope that cooperation with the IOC will continue and these issues will be resolved".
Last month Putin said the United States had put indirect pressure on the IOC to block Russia from the Winter Games, adding it would be a "humiliation" for the country.
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The IOC is currently assessing whether Russian athletes will be allowed to appear at the event in South Korea in February.
The investigation said the cheating peaked at the 2014 Winter Olympics in the Black Sea resort of Sochi where Russian secret agents engineered an elaborate system of doping.
Russia denies any state-sponsored system of doping.