WASHINGTON (Reuters) - U.S. National Security Adviser Susan Rice will urge Beijing next week to avoid escalation in the South China Sea when she makes the highest-level U.S. visit to China since an international court rejected its sweeping claims to the strategic waterway.

Chinese dredging vessels are purportedly seen in the waters around Mischief Reef in the disputed Spratly Islands in the South China Sea in this still image from video taken by a P-8A Poseidon surveillance aircraft provided by the United States Navy May 21, 2015. U.S. Navy/Handout via Reuters/File Photo

Even as Washington has sought to keep a lid on the situation, Rice - in an interview with Reuters – vowed that the U.S. military would continue to “sail and fly and operate” in the South China Sea, despite a Chinese warning that such patrols could end “in disaster.”

With less than six months remaining of President Barack Obama’s tenure, Rice’s broader mission in her July 24-27 trip is aimed at keeping overall ties between the world’s two largest economies, which she called “the most consequential relationship we have,” on track at a time of heightened tensions. “I’ll be there to advance our cooperation,” she said.

But the trip, due to be formally announced later on Friday, follows a July 12 ruling by the Permanent Court of Arbitration in The Hague that China has no historic title over the waters of the South China Sea. Beijing has angrily rejected the verdict and pledged to pursue claims that conflict with those of several smaller neighbors.

“I’ve been in communication with our Chinese counterparts over the last couple of weeks … We understand each other’s perspectives clearly,” Rice said when asked what message she would deliver to the Chinese. “We’ll urge restraint on all sides.”

Her trip, to include Beijing and Shanghai, will coincide with visits by U.S. Secretary of State John Kerry to Laos and the Philippines where he is expected to try to reassure Southeast Asian partners of Washington’s commitment.

The United States is also using quiet diplomacy to persuade claimants like the Philippines, Indonesia and Vietnam not to move aggressively to capitalize on The Hague ruling, U.S. officials have said.

TEST OF U.S. CREDIBILITY

How Washington handles the aftermath of the ruling is widely seen as a test of U.S. credibility in a region where it has been the dominant security presence since World War Two but is now struggling to contain an increasingly assertive China.

China has responded to the ruling with sharp rhetoric. But a senior official said, “So far there has not been precipitous action” and Washington was hoping confrontation could be avoided.

“We are not looking to do things that are escalatory,” another senior U.S. official said. “And at the same time we don’t expect that they (the Chinese) would deem it wise to do things that are escalatory.”

Despite that view, two Chinese civilian aircraft conducted test landings at two new military-length airstrips on reefs controlled by China in the Spratly Islands shortly after the arbitration ruling.

And signaling Beijing’s plans to further stake its claim to contested waters, a Chinese state-run newspaper said that up to eight Chinese ships will offer cruises to the South China Sea over the next five years.

China has blamed the United States for stirring up trouble in the South China Sea, a strategic waterway through which more than $5 trillion of trade moves annually.

Citing international rules, the United States has conducted freedom-of-navigation patrols close to Chinese-held islands where China has been bolstering its military presence.

Rice is expected to meet Chinese President Xi Jinping during her visit and her agenda will include North Korea, economic issues and human rights. She will also lay the groundwork for Obama’s talks with Xi at a G20 summit in China in September, U.S. officials said.

But with the South China Sea issue looming large, Rice, who has led U.S. policymaking on China, said the United States and China have “careful work to do to manage our differences.”

She also said the administration would not allow crises in other parts of the world, from Syria to Turkey to Ukraine, to distract from Obama’s signature policy of “rebalancing” toward Asia. “We don’t have the luxury as the world’s leading power to devote our attention to one region and ignore another,” she said.