"I don't have any doubt that Rex Tillerson will be representing the United States of America," McConnell said.
Tillerson is among one of Trump's most controversial picks for the cabinet. Republicans like Sen. Marco Rubio (R-FL) have voiced skepticism over Tillerson's cozy relationship with Russian President Vladimir Putin. Tillerson was awarded "Order of Friendship" in 2013, an award Putin bestowed upon him for his contributions to Russia.
McConnell argued that Tillerson was just doing his job.
"I know Rex pretty well," McConnell said. "He was representing his company — that was his job to be CEO of Exxon Mobil, one of the largest corporations in the world and they search for oil and gas all over the world."
McConnell discounted any concerns that Tillerson was in Russia's pocket.
"My guess is that Vladimir Putin will be vey disappointed with the Rex Tillerson he got as secretary of state," McConnell said.