Hudson suffered a slight groin strain taking ground balls in Peoria on Wednesday before the team went to Scottsdale, Ariz., to play the D-backs.
"He was taking ground balls and felt a slight tug ... he said he'll be fine," Padres manager Bud Black said before Thursday's game. "He had some leg issues last year, so let's hope it's nothing like that. He didn't think it was."
Hudson sounded optimistic that he wouldn't miss much time.
"I'm ready to rock and roll," said Hudson, on his way to the trainer's room.
Quentin, who hit his first home run of the spring in that same game, has a sore right knee according to Black. He was set to play right field for the first time on Thursday, but was a late scratch.