Correia pitched out of a bases-loaded, one-out jam in the fifth to end his outing.
"If that's a regular-season game, that's a pretty important inning when you've got a guy like Buchholz throwing as good as he was," Correia said. "You don't have room to give up many runs if you want to win the game. So to get out of that inning was huge."
Twins manager Ron Gardenhire was pleased with Correia's outing.
"That was fun to watch Correia," Gardenhire said. "The ball was moving. He used his pitches well. What we're looking for is them to get their arm strength built up, their pitches built up, and at the end here finish up with a good performance. And he did all that. So it ended up being a nice spring for him. He did all that."
The Red Sox scored their lone run off Correia in the first inning, when Jacoby Ellsbury led off with a double, moved to third on Daniel Nava's groundout and scored on Dustin Pedroia's groundout.
New Red Sox closer Joel Hanrahan followed Buchholz. Since getting roughed up by the Twins on March 7, when he gave up four runs in one-third of an inning, Hanrahan has pitched 4 1-3 scoreless innings in five appearances.
NOTES: The Red Sox optioned 1B Mauro Gomez and INF Brock Holt to Triple-A Pawtucket, bringing their roster to 32. . The Red Sox placed SS Stephen Drew on the seven-day concussion disabled list retroactive to March 27. . After the game Boston informed non-roster invitee OF Ryan Sweeney, who had an opt-out clause for midnight if he were not added to the major league roster, they would not be purchasing his contract.DH David Ortiz, who has been sidelined by sore heels, did some agility drills and worked out on the field. . LHP Franklin Morales, who has been sidelined by a sore lower, is expected to throw off a mound Saturday. . LHP Craig Breslow, who has been sidelined all spring by sore shoulder, is expected to throw off a mound Monday. . Twins 1B Justin Morneau was scratched just before the game because of mild back tightness. He is day to day. . LHP Scott Diamond, who is recovering from surgery to remove bone spurs from his elbow, threw 65 pitches in a minor league game Thursday afternoon. He is expected to have two more outings before his return from the DL on April 12. . RHP Liam Hendriks threw a bullpen session Thursday with no problems, two days after being hit in the hand by a line drive.