The former speaker of the House is on the shortlist to run on the Republican ticket with Trump, who is expected to make his selection public any day ahead of the Republican National Convention next week.
Dustin Stockton is a political reporter for Breitbart News, a community liaison for Gun Owners of America, and a political strategist.
Stelter added on Twitter he "had been planning to write about the Newt-working-for-Fox conflict for days" and asked the news network for comment this afternoon.
Other candidates include New Jersey Gov. Chris Christie, Alabama Sen.
Gingrich appeared with Trump at a rally last Wednesday in Ohio.
Gingrich officially endorsed Trump in May and has been on the list of potential VP's for a while now.
It is believed the final decision on the VP choice will be released sometime this week, prior to the Republican convention, which begins Monday in Cleveland.
During this time, Trump has also consulted with both Roger Ailes, the chairman and CEO of Fox News, and Rupert Murdoch, the 21st Century Fox executive co-chairman.
Senate Majority Leader Mitch McConnell says it was "totally inappropriate" for Justice Ruth Bader Ginsburg to criticize Donald Trump. "That I can tell you", Trump said. Gingrich, who had joined the network in 1999 after leaving Congress, was previously suspended as a contributor in 2011 when he ran during the 2012 presidential election. Newt gets it. I'll tell you one thing, folks. Before that he was a co-host of CNN's short-lived revival of "Crossfire".