"We are watching very closely, we believe that Russia stands an enormous amount to lose" from any escalation, Deputy National Security advisor Ben Rhodes told journalists as leaders gathered in The Hague to discuss a response to the crisis.
A US military officer told AFP today the Russian military presence continued to increase along Ukraine's eastern border.
"They're still growing in numbers. They're still in a hot state of readiness," said the officer, who spoke on condition of anonymity.
"We haven't seen anything to suggest anything is imminent," the officer said. "But if they chose to move, it would not take long."
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Ukraine on Monday ordered its outnumbered troops to withdraw from Crimea after the seizure of another military base.
The Russians had roughly 20,000 troops near the border, including air and ground forces, air defence weapons, fighter jets, motorised vehicles, airborne units and cargo planes to move those troops, officers said.
"The full scope of the arsenal" was in place, the officer said.
The United States was closely monitoring the situation, he said.
A second defence official said the Russians had more than enough troops in place to launch an operation in eastern Ukraine if it decided to.