The Monaco forward is still recovering from anterior cruciate ligament damage but his surgeon believes he will be back in time to feature at the showpiece in Brazil.
Radamel Falcao is unlikely to be fully fit for the start of the World Cup, according to the surgeon who carried out his knee operation, but he could still make the Colombia squad for the tournament.
The 28-year-old has been out of action since suffering anterior cruciate ligament damage in the Coupe de France game against Chasselay in January.
Falcao - who scored nine goals in 17 Ligue 1 appearances prior to his injury - is facing a race against time in his rehabilitation as he battles to be selected for the World Cup.
His surgeon, Jose Carlos Noronha, expects Falcao to be in Brazil, even if he has not quite fully recovered.
"At the highest level, at the beginning of the competition, Falcao may not be 100 percent," Noronha told Lusa.
"I think he will go to the World Cup."
Falcao revealed earlier this month that his recovery is going to plan, although he stopped short of saying for certain that he will back in time.
The former Atletico Madrid forward said: "I hope that I can play in the World Cup, but it's still too soon to be certain.
"I'm a little ahead of what was expected, but we know very well that it's day to day that we'll see the evolution. I have the desire and motivation to return."