In an interview Tuesday afternoon, Shelby said he thinks Sessions is handling the pressure well.
Shelby believes the committee will give Sessions a favorable report, and with a Republican majority, a confirmation is likely.
"He was well-prepared. He knows the committee. He served on that committee 20 years. He knows the issues, and I think most people in the committee, regardless of politics, have a lot of respect for him," Shelby said. "That doesn't mean all of them will vote for him, but Jeff Sessions has integrity and has a strong, strong character about him and that's so important in this job."