The Uruguayan striker's four-month playing ban remains in place, although he will now be allowed to return to training.
Suarez was originally banned by FIFA from all football-related activity after biting Giorgio Chiellini during Uruguay's 1-0 win over Italy in a World Cup fixture in Natal in June.
But CAS has made the decision that the Uruguayan should be allowed to return to work, albeit with his playing suspension remaining in place.
A CAS statement explained:
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"The CAS Panel found that the sanctions imposed on the player were generally proportionate to the offence committed. It has however considered that the stadium ban and the ban from 'any football-related activity' were excessive given that such measures are not appropriate to sanction the offence committed by the player and would still have an impact on his activity after the end of the suspension."The 27-year-old can now train with his new Barcelona teammates for the first time since his transfer from Liverpool, while he can also commit to promotional activity.
He is due to return to the playing field on Oct. 26, one day after Barcelona is scheduled to play Real Madrid in La Liga. However, Suarez could well feature in the Clasico as national TV could decide to move it to a Sunday fixture.
The extent of Suarez's playing ban was said by CAS to be proportionate with the act committed, with Suarez having twice been caught biting opponents in the past. He was banned for seven matches after biting PSV's Ottman Bakkal while playing for Ajax, then sat out 10 games following a similar incident at Liverpool on Chelsea's Branislav Ivanovic.
He will sit out the first 11 games of Barcelona's season, while his nine-match international ban is still applicable. However, he is permitted to play friendly matches, including Monday's Gamper Trophy clash with Club Leon at Camp Nou.