By Steve Holland, Courtney Rozen, Karen Freifeld and David Shepardson

WASHINGTON, Nov 9 (Reuters) - US President Donald Trump said on Monday the FBI was looking into Nvidia CEO Jensen Huang's affair with a Chinese businesswoman alleged to be a spy for Beijing.

Trump said he "was amazed" by allegations about Huang, ‌among the president's closest allies in Silicon Valley. Trump said he had spoken to the CEO, who told him that he had no idea that ‌the woman was a spy.

"I know the FBI is looking into it," Trump said. "I think that he'll be in good shape," he added.

Nvidia shares closed down more than 4% on Monday after the company's board launched ​an internal investigation into whether Huang had been targete...