Alba was taken off at Camp Nou after just 15 minutes, clutching at his problem area, and the La Liga champions announced the 24-year-old Spaniard would endure a stint on the sidelines.
The club confirmed they would assess the damage done on Sunday before revealing a date for Alba's return.
Alba was recently on international duty for Spain, scoring in their World Cup qualifier against Finland last week, before returning to club duty on the weekend - only for his presence to be cut short.
Brazilian Adriano replaced him at left-back on Saturday, and could earn himself a chance at a full 90 minutes having only played a full match once this season in Barca's 7-0 rout of Levante last month.
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