The defender, who missed the Europa League final and France's Euro 2016 campaign as he waited three months for UEFA to come to a conclusion over a potential drug ban.
But the Frenchman - who faced the European governing body's Control, Ethics and Disciplinary board in a hearing in Paris on Thursday - finally learned that his case has been "dismissed" on Friday.
The 25-year-old's defence, arguing that the fat-burning substance he tested positive for should not be on the banned list, convinced UEFA to drop the case and rule in Sakho's favour.
The fact Sakho is now available for the start of the coming 2016-17 season is a major boost and means they won't need to pursue a stop-gap signing to come in for him in defence.
It was initially thought he could be facing as long as two years on the sidelines, a suspension which would have cast serious doubt over the future of his career altogether and not just the future of his Liverpool career.
But the let-off means he is expected to join up with his teammates at their Melwood training ground later this week, with an eye to playing in the club's second friendly of the summer, against Fleetwood Town next Wednesday.
Reds defender cleared to resume career
Speaking on Friday, in the aftermath of their friendly victory over Tranmere Rovers at Prenton Park, Klopp told journalists that he "heard something" about Sakho's situation, "but not all."
"It isn't possible for me to say," when asked for his opinion on UEFA's ruling, instead suggesting the media should "wait one or two days" before he has his say.
Klopp acknowledged that if it is like reporters told him, then it's "a hard time over for Mama" but he added that "for the rest" he has to talk personally to the defender.
Sakho will now be keen to knuckle down and impress Klopp again, having been one of the Reds' most in-form players before his ban. With Joel Matip adding extra competition alongside Dejan Lovren, Sakho will first have to prove he is worthy of regaining his starting spot.
He could opt to take legal action for the matches he missed whilst banned by UEFA during his 30-day suspension, although suggestions that it was Sakho who asked himself to be unavailable for selection make it slightly more confusing.
Indeed, UEFA could argue that Sakho could have been involved for Euro 2016 - his ban elapsing before the countries involved had to submit their final 23-man squads, although Didier Deschamps kept faith with the players picked in the provisional squad.