The concluding of the deal could put strains on the working relationship on the ISS between the old cold war foes.
No new deal has been arranged between the US and Russia, with the deadline on the current agreement expiring in April 2019 – just eight months away.
Russian politician Yury Borisov, who oversees the military and Russian space programme, said the landing of the Soyuz-MS spaceship in April “will finalise the fulfilment of our obligation under a contract with NASA”.
The agreement made that Russia would fly US astronauts to the ISS was made in 2011 when NASA closed its space shuttle programme.
However, since then relations between the two nations have rapidly declined.
The US placed sanctions in Russia in 2013 after it invaded part of Ukraine.
Further sanctions were then placed on Moscow earlier this year after Washington concurred with the UK that ex-Russian spy Sergei Skripal was poisoned by the Kremlin using a nerve agent.
However, in a sign the two countries may form a new agreement, the Kremlin official added: “This is a working issue.
“The current contract ends, but it doesn’t mean that we’ll stop delivering American astronauts on the ISS.
“There’ll be other contracts.
“No tough measures are implemented.”
Last week Vice President Mike Pence announced plans to ensure the US did not need to rely on Russia’s help for transporting astronauts in the near future.
He also detailed plans to put in place Donald Trump’s vision of a Space Force.
He said: “For many years nations from Russia to China, to North Korea and Iran have pursued weapons to jam, blind and disable our navigation and communication satellites. The electronic attacks from the ground.
“Recently, our advisories have been working to bring new weapons of war into space itself.”