TAMPA, Fla. — Boston Red Sox Manager John Farrell said left-hander David Price has increased strength in his sore pitching elbow but isn’t ready for a “full-blown throwing program.”

Price was re-evaluated Tuesday.

“Strength gains have been had, but we’re going to continue to stay in the strength and conditioning phase of this,” Farrell said. “He’ll continue to get his arm moving in the cage, in the workout room and the training room. We’re getting closer.”

Farrell didn’t rule out Price increasing his throwing later this week.

Starting the second season of a $217 million, seven-year contract, Price hasn’t appeared in an exhibition game and is expected to begin the season on the disabled list.

Chris Sale struck out 10 batters in six innings, giving him 20 strikeouts with one walk in 16 innings this spring as the Red Sox defeated the New York Yankees 4-2 at Tampa, Florida.

Sale allowed four hits, including Matt Holliday’s fourth homer, a two-run shot that came in Sale’s last inning.

Mike Miller hit his first homer and Sam Travis added an RBI single off New York starter Bryan Mitchell, who allowed seven hits and struck out seven in 41/3 innings. Aroldis Chapman strick out two of the three batters he faced.

YANKEES: Shortstop Didi Gregorius is expected to miss the first month of the regular season because of a strained right shoulder.

General Manager Brian Cashman said Gregorius is likely to be sidelined six weeks. Opening Day for the Yankees is April 2 at Tampa Bay.

WHITE SOX: Shortstop Tim Anderson agreed to a $25 million, six-year contract.

Anderson will receive $850,000 in 2017, $1 million in 2018, $1.4 million in 2019, $4 million in 2020, $7.25 million in 2021 and $9.5 million in 2022. The deal also includes club options of $12.5 million for 2023 and $14 million for 2024. If either is declined, Anderson gets $1 million.

RANGERS: Catcher Robinson Chirinos signed a new contract through 2018 that also includes a club option for 2019.

Chirinos, already signed for this season, was the Rangers’ catcher for Opening Day in both 2015 and 2016. He is now a backup to Jonathan Lucroy, who was acquired in a non-waiver trade deadline deal last season.

GIANTS: Barry Bonds is returning as a special adviser.

The team said Bonds, the home run king, will attend a few days of spring training, starting Wednesday in Scottsdale, Arizona. He’ll also visit the Giants’ minor league teams.

NATIONALS: Gio Gonzalez gave up one run on three hits and one walk over 41/3 innings in a 3-1 victory over Atlanta at West Palm Beach,. Florida.

ASTROS: Mike Fiers struck out five over four scoreless innings for Houston in a 2-1 win over Miami at Juper, Florida.

PHILLIES: Aaron Altherr led off a six-run ninth inning with a homer as Philadelphia beat Minnesota 9-5 at Fort Myers, Florida.

PIRATES: John Jaso and Jacob Stallings homered for Pittsburgh in a 5-4 win over Tampa Bay at Bradenton, Florida.

BLUE JAYS: Aaron Sanchez walked four and gave up one run over 31/3 innings for Toronto in a 5-2 victory against Baltimore at Sarasota, Florida.