Since joining the administration in early 2017, Mr. Liddell has worked closely with Jared Kushner, the president’s son-in-law and senior adviser, on efforts to streamline and update some government functions. That includes the way the government buys technology or the services it offers citizens online.

As the former chief financial officer of Microsoft and General Motors, Mr. Liddell has the sort of experience that could fulfill the president’s interest in someone with a corporate résumé who is also known to his existing staff, the officials said.