Archer struck out six and walked two. He allowed a two-run home run to Chris Johnson in the fourth.
"It was different pitching into the sixth inning because I hadn't done that yet," Archer said. "My body felt good. I was able to repeat my mechanics. … I could have done more, but there was no reason to extend myself."
Designated hitter Colby Rasmus drove in his first three RBIs of the spring for Tampa Bay.