Following the high level visit to Ukraine by Secretary of State Antony Blinken and Defense Secretary Lloyd Austin, U.S. embassy personnel have begun traveling to Ukraine to re-establish the American embassy there.
Watch Price's remarks in the player above.
"We accelerating preparations to resume embassy operations just as soon as possible," said State Department Spokesman Ned Price in Washington Tuesday.
"We're constantly assessing and evaluating and reassessing the security situation with a view towards resuming those embassy operations as soon as possible," he said.
Russia continued to pound eastern and southern Ukraine on Tuesday as the U.S. promised to "keep moving heaven and earth" to get Kyiv the weapons it needs to repel the new offensive, despite Moscow's warnings that such support could trigger a wider war.
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Russian Foreign Minister Sergey Lavrov cautioned that if the Western flow of weapons continues, the talks aimed at ending the fighting will not produce any results.
A day earlier, Lavrov accused NATO of "pouring oil on the fire" with its support for Ukraine. He also warned against provoking World War III and said the threat of a nuclear conflict "should not be underestimated."
Price described Lavrov's comments as "loose talk of nuclear weapons" and "deeply irresponsible."
"It is the height of irresponsibility," he said.
For the second day in a row, explosions rocked the separatist region of Trans-Dniester in neighboring Moldova, knocking out two powerful radio antennas close to the Ukrainian border and further heightening fears of a broader conflict erupting across Europe. No one claimed responsibility for the attacks, but Ukraine all but blamed Russia.
"We reiterate the Moldovan government's call for calm and response to these incidents and we fully support, as you have heard us say before, Moldova's territorial integrity and sovereignty," Price said.
It was not clear who was behind the blasts in Trans-Dniester, but the attacks gave rise to fears that Russia was stirring up trouble so as to create a pretext to intervene. About 1,500 Russian troops are based in Trans-Dniester, a long, narrow strip of land with about 470,000 people along the Ukrainian border.