According to a report by the Wall Street Journal Friday, Petraeus’s name was floated for the role, but the White House was miffed by his concerns about staffing and independence. It’s not clear how seriously he was being considered.

Still reportedly on the short list for the position are acting national security adviser Keith Kellogg, a retired three-star Army general and Flynn’s chief of staff, former United Nations ambassador John Bolton, and Army strategist Lt. Gen. H.R. McMaster.

The Washington Examiner reported that Kellogg, Bolton and McMaster will meet with Trump separately at his Mar-a-Lago resort in Florida this weekend to discuss the position, citing an administration official.

Former Army Chief of Staff and retired Gen. Ray Odierno is also believed to be under consideration, according to the Journal.