Moscow is in contact with some members of US President-elect Donald Trump's team on the Syrian crisis, Russian Deputy Foreign Minister Mikhail Bogdanov said on Wednesday.

"These are different people whom we have known for a long time already," Bogdanov said giving no further details.

Bogdanov also noted that Russia's Foreign Ministry hopes that relations between Russia and the US on Syria will improve under the Trump administration.

"Of course, we hope so," he said answering a question on the issue.

Russian presidential spokesman Dmitry Peskov earlier said it is premature to make forecasts about the potential cooperation between Russia and the US on Syria. Nevertheless, Moscow continues expressing its willingness to keep up the dialogue on this issue.

Peskov said although the approaches of Vladimir Putin and Donald Trump coincide to a large extent, there are also some differences.

Trump said earlier that after the inauguration he planned to focus on the fight against the Islamic State terrorist group (outlawed in Russia) instead of attempts to ouster Syrian President Bashar al-Assad. He also said that the cooperation with Russia in the fight against terrorism could be useful.