WASHINGTON—Negotiators for the U.S. and China have scheduled a new round of high-level trade talks in Beijing and Washington, aiming to close a deal by late April to end the yearlong dispute between the world’s two largest economies.

U.S. Trade Representative Robert Lighthizer and Treasury Secretary Steven Mnuchin plan to fly to Beijing next week to meet with Chinese Vice Premier Liu He, Trump administration officials said. The following week, a Chinese delegation led by Mr. Liu is expected to continue talks in Washington, the officials said.

People tracking the negotiations said the talks appear to be in their final stages, following a rocky patch after Chinese leaders were unnerved by President Trump’s decision to abruptly break off nuclear-disarmament talks with North Korean leader Kim Jong Un in February.

“We’re in the endgame,” said Myron Brilliant, executive vice president of the U.S. Chamber of Commerce.

If the two sides continue to make progress, he said, they should be able to finish a trade deal by the end of April—or about one month later than previously expected.