BRUSSELS (AFP) - Russia informed Nato Thursday that it is halting military cooperation, an Alliance spokeswoman said, announcing the latest twist in the spiralling relations between Moscow and the West. "We have received the notification from the Russians though military channels and they say that they have decided to halt international military cooperation events between Russia and Nato countries until further instruction," spokeswoman Carmen Romero said from the Nato headquarters in Brussels. "We take note of the Russian decision," she added. Almost immediately the White House warned that there could be no Russia-Nato military cooperation until the crisis in Georgia has been "resolved." "I can't imagine a circumstance right now that we would engage in military cooperation with the Russians until the situation in Georgia is resolved," US National Security Council spokesman Gordon Johndroe told reporters in Washington. In a further sign that Nato-Russia cooperation ties have stalled, a Russian official said the head of Moscow's mission to Nato, Dmitry Rogozin, was heading back home for consultations. Rogozin had been holding near-daily press briefings in which he belittled Nato and accused Georgian President Mikheil Saakashvili of ethnic cleansing, likening him to Hitler, Stalin and Saddam Hussein. "Right now it is too early to make confirmation that all military cooperation has stopped," the Russian official in Brussels told AFP. "Rogozin will be in Moscow for consultations with our leadership and after that we can confirm or refute." the reports, he added. The Nato spokeswoman recalled that Nato Secretary-General Jaap de Hoop Scheffer had already said that it "cannot be business as usual with Russia" as long as Moscow keeps its troops in Georgia. The normal joint NATO-Russia military activities include training and exercises, military logistical cooperation, missile defence activities, naval cooperation, military exchanges and search and rescue at sea, the spokeswoman said. The Russian navy has already announced it was cancelling its participation in naval manoeuvres planned in the Baltic Sea as part of its partnership with NATO, and said it was currently "not considered possible" to host the US naval frigate Ford. Russian Foreign Minister Sergei Lavrov said earlier Thursday that Moscow is not planning to "slam the door" on NATO, but the alliance must choose partnership with Moscow over support for Georgia. "Everything depends on Nato's priorities," Lavrov said in remarks from the Black Sea resort of Sochi broadcast on Russian television. "If the priority is blind support for the bankrupt Saakashvili regime and if they are ready to pay the price of a break in relations with Russia, then that is not our choice," the foreign minister said. "We are not planning to slam the door" on Nato, Lavrov said in Sochi where President Dmitry Medvedev held talks with his Syrian counterpart Bashar al-Assad. In response, the Russian navy announced it was pulling out of a Nato exercise in the Baltic Sea and was unable to host a scheduled visit by a US naval frigate. Deputy Foreign Minister Alexander Grushko earlier was quoted by Interfax as saying that Moscow was "reviewing" cooperation with Nato and assessing relations that have plunged to their lowest point since the Cold War. Lavrov argued that cooperation with Russia was critical for the success of the North Atlantic Treaty Organisation's mission in Afghanistan, where the alliance has deployed 40,000 troops after the Taliban were ousted in late 2001. While Russia has no troops in Afghanistan, it has signed key agreements to allow Nato supplies to transit through Russian territory. "We hope that cooperation on Afghanistan will not end," said Lavrov.