FORT MYERS, Fla. —The Boston Red Sox and designated hitter David Ortiz reached agreement on a one-year contract extension estimated at approximately $16 million, ESPN reported Sunday.

A formal announcement could come as early as Monday, according to the report. Ortiz told ESPN that “hopefully” a deal is in place that would keep the slugger with the team through the 2015 season.

Ortiz and his agent, Fernando Cuza, met with Red Sox officials on Sunday.

The 38-year-old veteran batted .309 with 30 home runs and 103 RBIs in 137 regular-season games for the World Series champion Red Sox in 2013. In the World Series, Ortiz hit .688 with two homers and six RBIs.

He also helped lead the Red Sox to Series titles in 2004 and 2007.

He has 431 career home runs, 1,429 RBIs and a .287 average.

On Sunday, Tampa Bay reached Boston left-hander Felix Doubront for 10 hits and eight runs en route to a 9-2 spring training victory over the Red Sox.

It was the second straight poor outing for Doubront, who struck out six and walked two while throwing 88 pitches.

Matt Joyce sparked the Rays with a three-run home run and David DeJesus and Desmond Jennings each chipped in with two hits and two RBIs.

Tampa Bay pitcher Matt Moore was hit in the face on a comebacker to the mound by Xander Bogaerts and left the game after four innings.

Moore seemed to deflect the ball with part of his glove, but he left the game and received stitches for a laceration on his lip. The team said no concussion symptoms were detected and Moore didn’t have to go to the hospital.

Moore didn’t allow a hit in four innings while striking out four and walking four. The four consecutive walks came in the third inning to Middlebrooks, David Ross, Shane Victorino and Dustin Pedroia, who got the RBI.

Boston scored its second run in the seventh when Jonny Gomes walked, advanced on Bogaerts’ single to left and came home on a Will Middlebrooks single.

On Monday, left-hander Drake Britton will get the start against the Orioles in Sarasota, Fla. Jake Peavy will stay in Fort Myers and pitch a minor league game.

On Saturday, Boston right-hander John Lackey had a shaky outing in a 6-3 loss to the Atlanta Braves at Lake Buena Vista., Fla.

Lackey gave up five runs on 10 hits, including home runs by Andrelton Simmons and Dan Uggla.

SOX NOTES: On Sunday, the Red Sox optioned catcher Dan Butler to Triple-A Pawtucket and reassigned pitchers Rich Hill, Dalier Hinojosa and John Ely to Minor League camp. Left-handed reliever Jose Mijares was also going to exercise the opt-out clause of his contract and was granted his release by the Red Sox. The Red Sox now have 35 players left in their major-league camp while 30 of those are on the team’s 40-man roster.