Human fell victim to a blow by Thibaut Privat during Toulouse's 45-25 win at Montpellier at the weekend.
The South African had only resumed competition at a Heineken Cup match against Harlequins two weeks ago following a four-month lay-off with a left arm injury. He now expects to be out for around a month.
Toulouse manager Guy Noves said the club had not yet decided whether to cite Privat over the incident.
"We haven't ruled out the possibility of citing Privat for hitting out needlessly at a player who had only just returned," from injury, Noves said, adding that the blow had "come from behind".
Human joins compatriot Gary Botha on the French champions' injury list.
Hooker Botha, who suffered a bone fracture in his right leg in the same match, was on Tuesday ruled out for the rest of the season.
Noves said he is now looking for a medical replacement, with Castres' Georgian hooker Akvsenti Giorgadze a possibility, according to the club.