Chenault and wife Kathryn Chenault arrive for the state dinner for then-Mexican President Felipe Calderon and Margarita Zavala in 2010. (Bill O'Leary/The Washington Post)

According to Bloomberg News, they might have the executive in mind for Treasury Secretary, Commerce Secretary or as a senior adviser to the president.

White House Chief of Staff Jack Lew is still among the top contenders to succeed Timothy Geithner at the helm of Treasury. But, according to Bloomberg, “consideration of Chenault among Obama’s staff may indicate the president hasn’t made a final decision on a replacement.”

Chenault is no stranger to the White House: He serves on Obama’s jobs advisory panel, and he’s attended a state dinner at the White House.