On Friday, officials met with ambassadors to ask whether they needed help evacuating their personnel, several diplomatic missions said.
The same concern apparently does not extend to foreign tourists.
Amanda Carr, who works for a British travel company, wrapped up a pleasure tour Saturday of North Korea with a group of 20 tourists. Before leaving the country, they were able to take in a rally in Pyongyang.
The British Embassy in North Korea gave her company, Koryo Tours, some guidance in light of the international tensions. "We've been advised to continue with the tours," Carr said.
Her North Korean partners -- from the state's travel agency -- continue to accept tourists, she said. And their demeanor is friendly toward them, as it always has been.
Russia, a traditional ally of North Korea, may consider an evacuation of staff because of the tensions, Russian state media said.
The Swedish Embassy will remain open as well. It represents the concerns of the United States in North Korea and helps its citizens traveling there.
British, French and German diplomats also have no immediate plans to leave.
Meanwhile, U.S. Secretary of State John Kerry will visit Asia next week where he is expected to discuss potential diplomatic incentives for North Korea once it stops its threatening rhetoric, senior administration officials told CNN on condition of anonymity.
"Secretary Kerry agrees that we have to have a robust deterrent because we really don't' know what these guys will do," said one senior official, who was not authorized to speak on the issue.
"But he also knows that the North Koreans need a diplomatic off-ramp and that they have to be able to see it."
Key dates in U.S. military moves near North Korea