"More of a day-to-day thing," general manager Matt Klentak said Tuesday evening.
The Phillies signed Hernandez to a one-year, $3.9 million contract in December. He was the only free agent they signed to a Major League contract in the offseason, giving him front-runner status to be the Phillies' closer.
Hernandez said on Tuesday afternoon that he has no shoulder or elbow injury.
"We're good," Hernandez said. "I'm on schedule."
• Altherr out 4-6 months
The 30-year-old righty, who is 25-35 with a 4.15 ERA over six seasons, is scheduled to throw a bullpen session on Wednesday.
"Just taking it slow," Hernandez said. "I'm just trying to manage my appearances."
Non-roster invitees Andrew Bailey, Edward Mujica, Ernesto Frieri and James Russell also are competing to be in the back of the Phillies' bullpen. Bailey threw a scoreless inning on Tuesday in a 4-2 victory over the Pirates. He has thrown two scoreless frames this spring.
Mujica and Russell each have thrown one scoreless inning, while Frieri has allowed three runs in 2 2/3 innings.
Todd Zolecki is a reporter for MLB.com. Read his Phillies blog The Zo Zone, follow him on Twitter and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.