Donald Trump's trust in Jared Kushner faded after the US president's son-in-law and senior adviser failed to help secure a deal on resolving the longest government shutdown in the country's history, the New York Times reports.

"[Trump] has been frustrated at everyone around him for not delivering a deal he can accept. And he has become wary of his son-in-law's advice on this issue, "the newspaper cited two White House sources as saying.

Their remarks followed a report by the Washington Post which claimed that during an Oval Office meeting last week, Kushner spoke up about immigration expertise and possibilities to end the government shutdown.

"Apparently, Jared has become an expert on immigration in the last 48 hours", Trump said in response, according to the newspaper.

Earlier, White House press secretary Sarah Huckabee Sanders told the Washington Post that Kushner had "successfully helped negotiate deals" with President Trump, including the criminal justice reform law as well as a trade deal with Mexico and Canada.