"We are open to this cooperation. Moscow is open for cooperation. Moscow believes that without cooperation it is impossible to fight terrorism effectively and solve problems in Syria. But in this case, the main problem lies in our US partners," Peskov told RIA Novosti.
Asked to assess the likelihood of reviving joint work, the spokesman deferred to Washington, saying "you should ask our US partners."
On Monday, the State Department announced it was suspending participation with Russia in bilateral channels established to sustain a ceasefire in Syria that has since broken down.
State Department spokeswoman Elizabeth Trudeau explained on Monday that the freeze does not preclude multilateral dialogue through the United Nations or the ISSG, which is co-led by the United States and Russia.