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There are signs that ongoing trade tensions are putting some pressure on China's job market — despite Beijing's efforts to emphasize the negative impact of tariffs on the U.S. According to China's top economic planning body, some local companies are cutting back on their efforts to hire new university graduates. "Due to (the) impact from the continued increase of China-U.S. economic trade frictions and other uncertainties, recruitment demand for university graduates is tightening in internet, finance and other industries," according to a statement to CNBC from a spokesperson for the National Development and Reform Commission (NDRC). "Some companies have postponed their campus recruiting (efforts), among which some companies may have reduced or suspended recruitment," said the Chinese-language statement, according to CNBC's translation. The statement also said that the overall employment situation for the class of 2019 is "relatively stable" and that the overall number of jobs available is "sufficient."

The world's two largest economies have been locked in a trade dispute for more than a year. Each country has applied tariffs to billions of dollars' worth of goods imported from the other. For China, the tariffs and uncertainty are piling pressure on an economy that's starting to see slower growth, after rapid expansion not so long ago. At the annual National People's Congress in March — a closely watched, but largely ceremonial meeting — Premier Li Keqiang said the country must be prepared for a "tough struggle." He named employment as the country's priority and said that at least 11 million urban jobs will be created this year.

There may be slighter pay or less workload, but we need ensure that no workers are laid off. Liang Ming director of the Institute of International Trade under the Ministry of Commerce

In official remarks, Beijing has tended to emphasize the negative impact of the trade tensions on the U.S. over China. Economists from the International Monetary Fund and other Europe or U.S.-based organizations have also found American businesses are bearing the burden of the higher tariffs right now. Chinese imports of goods from the U.S. fell 31.8% to $28.5 billion in the first quarter, while U.S. imports from China fell 13.9% in the first quarter to $106 billion, according to Liang Ming, director of the Institute of International Trade under the Ministry of Commerce. In the first quarter, Chinese imports from the U.S. that were most affected by the trade tensions were yellow soybeans, petroleum oils, and aircraft, according to Liang's research. For the same time period, top American imports from China that were most affected were some types of printed circuit boards, routers and modems, the report showed.

'Big impact' on jobs