BOSTON — David Ortiz, on the disabled list because of a torn tendon sheath in his left wrist, took 25 swings off a tee Tuesday night.

It was the first time Ortiz had swung a bat since he suffered the injury on May 31 in Baltimore and had to leave the game in the middle of an at-bat.

“It’s not ready. It’s just weak,” said Ortiz. “There’s a little bit of pain, but it’s better than when I hurt it. Then I couldn’t even hold onto the bat. I didn’t take a full swing. It was very light. I was trying not to miss it.”

The session gave Ortiz and the Sox’ medical staff a gauge for where he is in his recovery. That information will be helpful in determining at what pace Ortiz will be able to rehab the injured wrist.

Ortiz said he thinks he’s probably “a couple, three weeks away” from playing in a game, and he acknowledges that he will need some at-bats in rehab games in the minors before he’ll be able to rejoin the Red Sox.

“We’re pretty much where they expected,” said Ortiz of his medical staff. “I was a little disappointed. I want to be playing. There’s not too much I can do about it but wait. It’s a healing process. It’s better than what it was.”

Ortiz is expected to join the Red Sox on their trip to Houston, Tampa Bay and New York, which begins with a game against the Astros tomorrow night. He was batting .252 with 13 homers and 43 RBI when he suffered the injury.

Manager Terry Francona was pleased with the session.

“His swings were not real aggressive. There’s got to be a place to start. Before we go on the road the (medical staff) wanted to see where he was. It’s slow at first, but everything is going as planned,” said Francona. “David did what he was supposed to. Players want to go from zero to 100, which they can’t. Down deep, David knows it went pretty well. He wants to be in there now. We’ll build up his reps and intensity leading to soft toss, batting practice and eventually into some games.”

Around the bases

Manny Delcarmen notched his 11th consecutive scoreless outing, a dominant spotless eighth inning in which he fanned two. … Mike Lowell has had at least two hits in three of his last four games. … Dustin Pedroia, who went 3-for-5, has racked up seven multiple-hit games in his last 11 starts. It was his 10th three-hit game of the year. … Julio Lugo’s steal of third base in the fifth inning gave him 10 stolen bases, joining Jacoby Ellsbury (34) and Coco Crisp (12) in double digits. The last time Boston had three players with at least 10 steals was 2003, when Johnny Damon, Nomar Garciaparra and Damian Jackson each had at least 10.

skrasner@projo.com