Falcao and he has missed the Reds 1-2 victory away from home in front of Arsenal on Saturday in the Premier League.
Colombian and suffering 28 years of injuries since his arrival from United to Monaco last summer.
Falcao wrote, "Now my goal is to participate in the exercises and restore my fitness and help the team in the coming weeks."
Falcao and added, "I will go back to training today 100%, I'm ready to help the team in the coming games."