It comes as Putin agreed the "war must end" after Donald Trump went past Ukraine and European leaders to do business directly with the Kremlin.
Political experts say these propaganda orders from the Russian government seem to show Putin’s fear of Trump who has made it his priority to put an end to the war.
Kremlin spokesperson Dmitry Peskov said the Russian president invited Trump to visit Moscow with American officials soon.
Trump has repeatedly claimed in the past the war "never would have happened" if he had been president when Putin first threatened to invade.
A report from Russian independent media said: "[The Kremlin] demands to emphasise that the outcome of any talks with their American counterpart depends on the Russian president.
