The former Liverpool striker faces a saction from the club after he allegedly did not put enough commitment into training during the course of the week
The German trainer justifies the decision with the lack of commitment shown by the striker, who has scored five goals this term, in practice sessions this week.
"He must give everything for the team, and this was not seen," Babbel told Sports Bild.
Last month, Babel admitted that he was contemplating the decision to leave Hoffenheim, describing the Bundesliga club as 'an average' side.
This is the second disciplinary action taken by Babbel in less than two months, after Sejad Salihovic was dropped from the first team in March for a fortnight after he kicked a bottle in front of the coach as he prepared to come on as a substitute in the 2-1 victory against Wolfsburg.
Hoffenheim sit ninth in the Bundesliga table, with 40 points from 30 matches, while Freiburg are 13th, on 35 points.