The 19 year-old was making his first appearance since suffering a serious hamstring injury in September.
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However, Danns managed just 29 minutes before pulling up with another hamstring strain against Manchester City in the weekend's Premier League 2 fixture.
Manchester City went onto to win the game 2-0.
For Liverpool, 18-year-old Senegalese centre-back Mor Talla Ndiaye made his debut from the bench after his January arrival.
Danns penned a new contract for an undisclosed length in February, 2025.