Crawford was a major disappointment last season, his first with Boston after signing a $142 million, 7-year contract.
He batted .255 with 11 home runs and 56 RBI, and had only 18 steals after swiping 107 bases combined in the previous two seasons with Tampa Bay. He missed the first 89 games this season while recovering from left wrist surgery.
He partially tore his elbow ligament in April while rehabbing, slowing his return. Crawford was activated from the disabled list July 16 and was batting .282 with three homers and 19 RBI.
He is expected to be sidelined 6 to 9 months.
In another matter, the Red Sox fired pitching coach Bob McClure and replaced him with Randy Niemann for the rest of the season. Boston's 4.30 team ERA was 11th in the AL heading into Monday's games.
Yankees pitcher Michael Pineda, who has been sidelined all season with shoulder trouble, was charged with drunken driving in Tampa, Fla.
In games Monday *
At Arlington, Texas, Ryan Dempster pitched eight innings, his longest outing in more than 2 months and his best since being traded to Texas, and the AL West-leading Rangers beat the visiting Baltimore Orioles, 5-1. Dempster (2-1 in Texas, 7-6 overall) retired the last 11 batters he faced. The righthander acquired from the Chicago Cubs on July 31 allowed one run and four hits.
Dempster, a native of Canada, wasn't with the team during the series in Toronto, where he was scheduled to start Saturday night. The Rangers said only that Dempster was out for personal reasons, but other reports said he lost his passport.
* At Chicago, Alexei Ramirez hit a tiebreaking two-run homer in the seventh, Adam Dunn added his major league leading 36th an inning later and the White Sox beat the New York Yankees, 9-6, to end a three-game losing streak. Dewayne Wise and Gordon Beckham also homered for Chicago.
* At St. Petersburg, Fla., Jeremy Hellickson (8-8) pitched seven strong innings for his first home win in 3 months and the Tampa Bay Rays beat the visiting Kansas City Royals, 5-1.