The Colombia international forward has said that he is not prepared to put the long-term health of his knee on the line to play for his country in Brazil
The 28-year-old sustained serious ligament damage playing a Coupe de France match for Monaco against Chasselay in January, and the striker has said he is not prepared to rush his recovery.
"It is very clear that this pressure cannot be allowed to affect my recovery," he told Marca. "I will do my best to get there and it would be ideal. But the important thing is to be well and to recover properly.
"I can't allow my dream to be in Brazil with my country affect the condition of my knee."
Despite these words, the former Atletico Madrid attacker remains upbeat over his prospects of being ready.
"I feel good, the response of the knee in the first phase of the recovery has been positive. There have been no problems and that has allowed me to work well. The evolution has been rapid."
Falcao has scored 20 times for his country in 51 appearances.