Durban-born Tedder, 26, who can also play full-back, left the field after just two minutes of Friday's defeat following a tackle where he lost conciousness.
"The first examinations made at the hospital in Montpellier were reassuring, the player was allowed to go home last night to Perpignan to spend Christmas with his friends and family," the club said.
"We wish him a good recovery," they added.
Perpignan's next match is on Saturday as they host Champions Cup holders La Rochelle in the French Top 14.
