The Monaco player suffered serious knee ligament damage in a French Cup tie on January 22 and has not played since.
Despite his four-month absence, he was named in Colombia’s 30-man squad for the June 12-July 13 World Cup in Brazil with June 2 set as the deadline day for the final list of 23 players to be decided.
“I don’t know yet if I will be ready,” Falcao told Canal+.
“A decision will be taken in a few days, depending on my physical condition. I am doing a lot better. My health and physical state have improved, my knee is getting better and better.
“The objective is clear — to recover quickly to take part in the World Cup. That would be fantastic.”