The Ukrainian crisis pushed back and seriously aggravated relations between Russia and the West in the security sphere, having provoked the discussion about the return to the Cold War times. Theattempt is presented in the article to demonstrate that the present stage of interrelations between Russiaand the West is being deprived of immanent features of the Cold War. The author considers that theundertaken efforts in the artificial creation of the ideologems, trying to create foundation for the “newconfrontation” are unconvincing. The crisis that broke out creates serious and long-term difficulties on the way to recreation of confidence between the sides and for the turn over to the constructive cooperation. The active search of the sides for the decoupling of crisis situations and the necessity for joint counteraction to the global challenges make it necessary to cooperate in the security field,diminishing the possibility of returning to the Cold War in its “classic” form. However, the multiplyingcontradictions and mutual concerns, that were not resolved for years and even for dozens of years, createdthe grounds for the new possible “hybrid” confrontation based on other conditions. At the same time thedecisive inclusion of Russia into the fight against the terrorist quasi-state ISIL creates the conditions forthe gradual return to the active cooperation with the West in the sphere of international security and maybecome a serious obstacle on the way to fixing the appearing tendencies of returning to the Cold War.