Apple Inc. Chief Executive Officer Tim Cook says China will overtake the U.S. to become its largest market, as the iPhone-maker adds more stores and considers debuting new products in the country.

“I believe it will become our first,” Cook said in an interview with state-owned Xinhua News during a trip to Beijing.

No time frame was given for the prediction.

The news can’t be good for Lenovo, which operates its global executive headquarters in Morrisville but bases most of its operations in China. Lenovo competes with Apple for PC, notebook, smartphone and tablet sales.

The Cupertino, California-based company had $5.7 billion of sales in China during the quarter ended September. U.S. revenue was about $14.4 billion, based on figures in an Oct. 25 earnings statement.

Cook also met the chairman of China Mobile Ltd. while in the country, as he seeks to boost cooperation with a wireless operator that has 707 million customers and no agreement to sell iPhones. The CEO is making his second visit to the country in less than a year as Apple tries to reverse its shrinking share of the local smartphone market.

Apple (Nasdaq: AAPL) intends to open “many more” outlets in China over the next several years, Cook said in the Xinhua interview. The company now has 11 stores in China and Hong Kong.

Cook also said he would also “love” to introduce new products in China first, according to the report. The iPhone 5 was released in China in December, almost three months after the U.S. introduction.

China Growth

The company’s growth in the world’s most populous nation has been limited by it only working with smaller carriers and competition from domestic phone-makers. Its share of the nation’s smartphone market slipped to sixth from fourth in the third quarter, according to researcher IDC.

Earlier this week, Cook met with Xi Guohua, the chairman on China Mobile at the carrier’s headquarters in Beijing. The two discussed “cooperation,” according to a statement from China Mobile, the world’s largest wireless operator by subscribers. It didn’t elaborate.

China Mobile, which accounts for 64 percent of the nation’s mobile users, said last month that it needs to reach agreements on benefit-sharing with Apple before it can begin offering iPhones. The operator also has a homegrown third-generation network that isn’t used by other carriers.

Apple distributes iPhone with the nation’s second- and third-largest carriers: China Unicom (Hong Kong) Ltd. and China Telecom Corp.

Apple’s iPhones, iPads and other gadgets are popular with China’s highest-earning consumers but its fast-growing smartphone market is dominated by handsets that use rival Google Inc.’s Android system.

Labor Concerns

According to Xinhua, Cook responded to complaints about wages and other work issues at Foxconn, the Taiwanese company that assembles Apple’s products in vast factories in China, by saying his company enforces strict codes of conduct for its suppliers.

“We care very deeply about every worker that touches an Apple product, whether they are making it, selling it, serving it or marketing it. We hold ourselves to a very high standard there,” he was quoted as saying.

(Bloomberg and The AP contributed to this report.)