Crawford had returned to Florida on Tuesday night, where he has been rehabbing, Valentine said, after being examined in Boston earlier in the day.
Valentine said he had no other information on the condition of Crawford's elbow other than it was "sore."
"It's always serious, the way I look at it,'' Valentine said, "but it doesn't seem major.''
Valentine had acknowledged before the game that the elbow remains a cause for concern.
"Until a guy is 100 percent, you always have concern," Valentine said.
To date, Crawford, who also had offseason wrist surgery, has taken some at-bats but has not played the field in extended spring training games, and no timetable has been set for when he can resume throwing.
At the start of spring training, before the elbow issue had surfaced, the most conservative estimates for when Crawford would be playing for the Red Sox was May 1. That time frame is now obviously out of the question.
The Red Sox outfield could use some reinforcement with center fielder Jacoby Ellsbury expected to miss six to eight weeks with a shoulder injury.
Crawford signed a seven-year, $142 million contract with the Red Sox before the 2011 season and had one of the worst years of his career, hitting .255 with 11 home runs and 18 stolen bases.