Tampa Bay left-hander Blake Snell, who walked one batter in his first 6 2/3 Grapefruit League innings, walked five in 2 2/3 innings. He allowed one run on one hit.
Britton, who had been held out by soreness in his left oblique, gave up four hits and struck out two.
"Physically, I felt good. In spring you don't care about results, but I do. I wasn't too happy about it," Britton said.
The Rays had 19 hits, four by Corey Dickerson.
Rays Up Next: The Rays host the Red Sox at Charlotte Sports Park on Wednesday at 1:05 p.m. ET. Right-hander Matt Andriese, who allowed four runs in three innings in his first two Grapefruit League appearances, gets the start.
Orioles Up Next: The Orioles travel to nearby Bradenton to play the Pirates at LECOM Park at 1:05 p.m. on Wednesday. Right-hander Ubaldo Jimenez starts. Manager Buck Showalter said that he plans to start Pedro Alvarez as the designated hitter. The game can be seen on MLB.TV.
Watch every out-of-market regular-season game live on MLB.TV.
Rich Dubroff is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.