The France centre-back has not made an appearance for the Liverpool first-team after he was sent home from the pre-season tour of the United States.
But he has been able to keep his fitness up by playing for the under-23s.
Liverpool fans turn on Jurgen Klopp after defeat against Wolves
Sat, January 28, 2017
Click through the gallery as Liverpool fans vent their frustrations at Jurgen Klopp after defeat against Wolves
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Click through the gallery as Liverpool fans vent frustrations at Jurgen Klopp
Southampton have been linked with the 26-year-old as a replacement for Jose Fonte, who joined West Ham earlier this month.
But speaking to French TV show Canal Football Club, Sakho was reluctant to go into so much detail but accepted the blame for his actions.
Liverpool defender Mamadou Sakho
He said: "It is true that I turned up late. There was a rule that I should have observed. I do not at all see myself as above the rules, I respect everyone.
"I paid my fine, I was sanctioned, I apologised to my team-mates and my manager. Aside from that…I do not want to go into the controversies."