The 20-year-old sustained a hamstring tear in Sunday’s defeat at West Ham.
The England Under 21 international has become a first-team regular since Kenny Dalglish took over as manager at Liverpool in January.
Kelly will miss Liverpool’s key clash with rivals Manchester United on Sunday.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.