"I believe that's a decision for China to make," said spokeswoman Sarah Sanders, after the country's Communist Party called for the removal of presidential term limits.
"The president has talked about term limits in a number of capacities during the campaign and something that he supports here in the United States, but that's a decision that's up to China."
Mr Trump has previously expressed the need for term limits for lawmakers.
Xi has long been seen as the most powerful Chinese leader of the last three decades, but with this latest consolidation of power, he could well rival Mao Zedong and is well poised to define US-China relations for decades to come.
Despite that bonhomie, the two leaders have sparred over trade and Mr Trump's bellicose statements on North Korea.
Like Washington, China has been angered by Kim Jong Un's provocative behavior. But it has also been wary of economic pressure that could bring the collapse of the Pyongyang regime