Crawford spent a lot of time chatting up David Ortiz and other Red Sox veterans during batting practice.
"It's a nice feeling," said manager Terry Francona. "I hated him in that other uniform. It's amazing how you can hate somebody in one uniform and love them in another."
The speedy left fielder will have a news conference on Friday, after the position players undergo physicals.
"You know what he brings to the table," said outfielder Mike Cameron. "He just adds another element to this ballclub. He's able to do everything. When you have those kinds of players that are able to do anything, that makes the game more worthwhile, because there's not one way the guy can't beat you."