WASHINGTON, Jan 23 (Reuters) - The United States on Sunday (Jan 23) ordered the departure of family members of staff at its embassy in Ukraine, citing the continuing threat of military action from Russia.

The US State Department also authorised the voluntary departure of US government employees and said Americans should consider departing immediately.

"We have been in consultation with the Ukrainian government about this step and are coordinating with Allied and partner embassies in Kyiv as they determine their posture," the US Embassy said.

Russia has massed troops near the border with Ukraine prompting tensions with Western powers. Moscow has insisted it has no plans to invade.

The US Embassy in Kyiv warned in a statement that "military action by Russia could come at any time and the United States government will not be in a position to evacuate American citizens in such a contingency, so US citizens currently present in Ukraine should plan accordingly."

The State Department also said it was authorising the "voluntary departure of US direct hire employees."

The New York Times reported late Sunday that President Joe Biden was considering deploying several thousand US troops to NATO allies in Eastern Europe and the Baltics.

The Pentagon declined to comment on the New York Times report but noted that Pentagon spokesman John Kirby on Friday said, "we're going to make sure that we have options ready to reassure our allies, particularly ... on NATO's Eastern Flank".

"If there's another incursion and if they need that reassurance, if they need the capabilities to be bolstered, we're going to do that and we're going to make sure that we're ... ready to do that,” Kirby said.

US and Russian diplomats made no major breakthrough at talks on Friday.

On Sunday, Britain accused the Kremlin of seeking to install a pro-Russian leader in Kyiv.

The State Department late Sunday also reissued its advisory for Russia warning Americans not to travel, citing "ongoing tension along the border with Ukraine". It also added "given the ongoing volatility of the situation, US citizens are strongly advised against traveling by land from Russia to Ukraine through this region".

State Department officials declined to say how many Americans are currently believed to be in Ukraine.

The US Embassy in Ukraine said the decision was made "out of an abundance of caution due to continued Russian efforts to destabilise the country and undermine the security of Ukrainian citizens and others visiting or residing in Ukraine".

The US Embassy in Kyiv is continuing to operate and its Charge d’Affaires Kristina Kvien remains in Ukraine, State Department officials said.