The 31-year-old, who is currently without a club, was suspended for six months in February after taking a multi-vitamin booster in contravention of World Anti-Doping Agency (WADA) rules.
The ban was backdated to July 1, 2017, meaning the ex-Manchester City and Arsenal midfielder will be cleared to return next January. He can resume training with a club at the start of November.
Nasri had the drip treatment while he was on loan at Sevilla during the 2016-17 season, prompting the Spanish anti-doping agency to open an investigation.
He retroactively appealed to UEFA to grant him a therapeutic use exemption (TUE), but his request was refused by European football’s governing body.
Nasri left Turkish side Antalya in January after disappointing six-month spell following his arrival from Manchester City.
Six-time Olympic swimming champion Ryan Lochte was handed a 14-month suspension last week for a similar infraction, with athletes usually only allowed to receive an IV in the case of medical treatment.
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