Russian hopes of thaw with Trump dented after his top security adviser quits

(Repeats story sent on Feb. 14, without changes to text)

* Russian MPs fazed by US national security adviser leaving

* Suspect Russia's opponents of pushing Trump into corner

* See Flynn quitting as latest in series of reverses

* Kremlin, anxious not to worsen situation, holds tongue

By Andrew Osborn

MOSCOW, Feb 15 (Reuters) - Russia's parliament applauded on learning that Donald Trump had won the U.S. election. But prospects for better relations with Washington have suffered setbacks since then and the resignation of Trump's national security adviser is the biggest blow yet.

The Kremlin still believes a rapprochement is feasible, even if it might take longer than initially thought. But the clock is ticking: Vladimir Putin is expected to run for another presidential term next year, and an easing in Western sanctions could speed Russia's recovery from a recession and safeguard his national popularity.

For now, Russia plans to keep working with the Trump administration towards a rapprochement, looking to improve the atmosphere. With relations having sunk to a post-Cold War nadir under Trump's predecessor Barack Obama as a result of Moscow's 2014 annexation of Crimea, they could hardly get worse.

A first meeting between Russian Foreign Minister Sergei Lavrov and U.S. Secretary of State Rex Tillerson, expected in Germany later this week, will give the Kremlin a chance to grasp what Washington is now thinking and where this may lead.

The resignation of national security adviser Michael Flynn, who was seen in Moscow as a leading advocate of warmer ties with Russia, has underscored for the Kremlin the difficulties of reaching a settlement with Washington and drove home the urgent need to find new areas of common interest.

Flynn, who shared dinner with Putin in 2015 and favoured Washington uniting with Russia against Islamic State militants, quit on Monday after revelations he had improperly discussed the issue of U.S. sanctions on Russia with the Russian ambassador to Washington before Trump took office.

A U.S. official said Flynn indicated to the envoy that the sanctions "would not necessarily carry over to an administration seeking to improve relations between the U.S. and Russia".

"Flynn, unlike many other high-ranking Americans, was at least open to dialogue," said Konstantin Kosachev, head of the upper house of parliament's foreign affairs committee.

"Either Trump has not gained the requisite independence and is being gradually (and not unsuccessfully) backed into a corner, or Russophobia has already infected the new administration."