Manager Cecil Cooper said he was hopeful Valverde could pitch during the upcoming Brewers series.
"If he's available by the weekend, I'd be happy," Cooper said.
Instead of assuming his normal spot in the outfield during batting practice, Valverde patrolled the area behind the cage, assuring both general manager Ed Wade and assistant athletic trainer Rex Jones, separately, "I think I'll be able to go [Friday.]"
Asked by reporters how much better he was Thursday than the day before, Valverde opened his arm as wide as possible and said, "this much."
Valverde also said the pain had mostly subsided, and the swelling in his calf was down.
"It's a lot better today," he said.
Alyson Footer is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.