Cobb said he still had a slight headache, but felt fine otherwise.
Rays manager Joe Maddon called the step in Cobb's progress "outstanding."
"It's great," Maddon said. "Anytime I walk by him, he tells me he's having a good day and that's good to hear. We'll just take our time with him and follow his lead. With guys that have been hurt like that, I don't like to consistently ask them how they're feeling. I avoid that."
Adam Berry is a reporter for MLB.com. Follow him on Twitter at @adamdberry. Sam Strong is an associate reporter for MLB.com.
This story was not subject to the approval of Major League Baseball or its clubs.