"We are prepared to... Plan strikes on Daesh (IS) positions together and create a joint staff with France, the US, with all the countries who want to be in this coalition," said Alexander Orlov.
He told Europe 1 radio that despite rising tensions after Turkey downed a Russian military jet on Tuesday, "if the Turks want to be in (the joint staff) as well, they are welcome".
But Obama cautioned that US forces could only work with Russian forces if Moscow concentrated its bombing in Syria on Islamic State jihadists, and not on other rebel groups opposed to Moscow's ally, Syrian President Bashar al-Assad.
Addressing the downing of the Russian jet by a Turkish air-to-air missile, Obama also said that if Russia focused on hitting IS targets "some of those conflicts or potentials for mistakes or escalation are less likely to occur".