The 20-year-old was forced off the pitch after only 20 minutes on Saturday during his side's 1-1 draw with Armenia.
Early reports suggested that Markovic was facing a lengthy spell on the sidelines, but the youngster has confirmed that he is fit for his country's match against Albania tonight.
He wrote on his official Facebook page: "I'm ready for the match! Injury is not as bad as it seemed at first sight."
Markovic joined Liverpool from Benfica in the summer for around £20m.