Priebus: 'Premature' to Say Tillerson for Secretary of State Is a 'Done Deal'

He said Tillerson's relationship with Putin could be 'huge advantage' to U.S.

"There’s no announcement that’s coming today, George, as far as secretary of state’s concerned," Priebus added. "So it’s a little premature to be claiming that this is a done deal."

The president-elect took to Twitter this morning to comment on his decision-making for the secretary of state role and Tillerson.

"Whether I choose him or not for "State"- Rex Tillerson, the Chairman & CEO of ExxonMobil, is a world class player and dealmaker. Stay tuned!" Trump tweeted.

Rubio tweeted this morning, "Being a "friend of Vladimir" is not an attribute I am hoping for from a #SecretaryOfState - MR"

In 2011, Exxon Mobil forged a deal with Russian oil company Rosneft, which, at that time, was 75 percent owned by the Russian government. The deal gave Exxon Mobil access to arctic oil deposits, and Putin attended the signing ceremony.

On "This Week," Priebus said he doesn't see Tillerson's relationship with Russia and with Putin as a negative.