She and her husband have known Trump for several years, and Newt Gingrich served as an adviser to Trump's campaign.
A formal announcement of Gingrich's nomination is likely to come this week, the White House official told The Post.
News of Gingrich's consideration for the position began back in January.
A Trump official told CNN Sunday that while the administration has decided on Gingrich for the position, it is waiting for approval from the Office of Government Ethics before officially nominating her.
Callista Gingrich is a devout catholic, and said in a 2011 interview she's "always been a very spiritual person".
Others criticized the choice online because she admitted to having an affair for years with Newt Gingrich while he was married to his second wife. However, Newt denied the allegations.
You've got to be kidding me: "President Trump revealed highly classified information to the Russian foreign minister and ambassador in a White House meeting last week, according to current and former US officials, who said that Trump's disclosures jeopardized a critical source of intelligence on the Islamic State".
Callista Gingrich, 51, is a lifelong Catholic who with her husband runs the multimedia company Gingrich Productions, which produces historical documentaries including one about the canonization of Pope John Paul II.
However, the procedure of the nomination took too long. Former Sen. Rick Santorum, R-Pennsylvania, was also considered for the role, the newspaper reported. William Simon Jr., a friend of Rudy Giuliani, was also said to be in the running.