"I wouldn't say it's stiff," Millwood said, "but it's still a bit bruised and sore."
Millwood did not take part in the team's pregame stretch before the game against the Blue Jays. Instead, he decided to stay off his legs in order to rest the shin. He also spent time in the trainer's room before the game, applying ice and receiving treatment for the injury.
The 33-year-old right-hander also said that the injury will not jeopardize his upcoming start against the Red Sox at Fenway Park on Sunday.
"There is no doubt," he said when asked if he would be able to make his next start. "It's always fun to go in there and pitch in that environment. It's fun to pitch against a really good team. They won the [World Series] last year, so it'll be an exciting game."
Manager Ron Washington was not concerned about possibly rushing Millwood back for Sunday's start.
"No, because what's that, four days away?" Washington said with a smile. "With the treatments they've got in the medical field today, four days after getting hit with a baseball, they'll have you back to normal."
Millwood was hurt in the second inning of Tuesday's game against the Angels when a ball hit back up the middle struck him. He stayed in the game until the fifth inning but was forced to leave when the shin became stiff.
"He got hit in the second and then gave us three more [innings]," Washington said. "He's a warrior, but he just couldn't go any more."
Millwood is 1-2 with a 2.42 ERA in four starts this year.
David Singh is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.