Assuming Crawford gets the go sign from the medical staff, he will probably move to another affiliate to continue his rehab, rather than continue on in Fort Myers, Fla.
"Get under the lights, yeah," said Valentine. "Play before a crowd and all that stuff. He feels good health-wise."
Crawford hasn't played at all in 2012, thanks to left wrist surgery and a sprained UCL in his left elbow.
The outfielder who is closest to re-joining the active roster is Scott Podsednik, who has been moving around well in his rehab at Triple-A Pawtucket.
It wouldn't be surprising if Podsednik, who had a mild left groin strain, is activated when the Red Sox open a three-game series against the Yankees on Friday.
Reliever Andrew Bailey, who had right thumb surgery the day before the season, played catch at 150 feet on Sunday. He is close to getting on the mound, said Valentine.