The French defender missed nearly two months with a cartilage problem, but returned to play in the 1-1 draw at Atletico Madrid last weekend.
"The player will move to Doha where this therapy will be followed under the supervision of the club's medical services during the next few weeks," said in a statement.
Umtiti, who won the World Cup with France in July, has been a key player for Barcelona since a 2016 move from Olympique Lyonnais.
The 25-year-old has been involved in eight games so far this season, with compatriot Clement Lenglet taking his place. (Reporting by Rik Sharma Editing by Toby Davis)
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