The striker left Atletico Madrid in a deal worth an estimated €60 million and was having a solid first season in Ligue 1 before a knee injury in January ended his club season and made a World Cup appearance with Colombia look extremely unlikely.
Falcao has been living back in the Spanish capital while he tries to recover in time for the summer tournament, and Blancos fans have been pleading he join them, but he says his sights are set on Champions League football with les Rouge et Blanc next year.
"Football fans I've spoken to in Madrid have been wishing me a swift recovery and say they hope I go to the World Cup," the striker told Marca.
"Some people ask if I will join Real Madrid, but these are just opinions. Anyway, I tell them my only concern right now is to recover soon.
"I am realistic, I am aware of my injury and I just want to recover to play with my new club, Monaco. And if we qualify for Champions League in France, I want to be ready for next season.
When asked if he might be featuring in the tournament at the Santiago Bernabeu, he responded with a smile: "Now I do not think about anything other than my knee getting better."
The 28-year-old, who spent two years impressing at the Vicente Calderon following his move from Porto in 2011, insists Atleti's storming 2013-14 season has not come as a shock to him but hinted even he did not expect them to lead La Liga with seven games to go.
"Maybe I didn't expect them to be this strong and so firmly in control," he added. "Yes we knew the team, in its third year together and secure with Diego Simeone, would be stronger.
"But for them to fight him on level terms with Madrid and Barca, who have a vastly bigger budget, I don't think anyone this was possible. What they are doing is admirable under Simeone, but I'm not surprised. I knew they had the potential.
Falcao tore the anterior cruciate ligament in his left knee, but remains hopeful he can be fit five months on from his January injury instead of the usual six-to-seven month recovery time period.
"It's a special case," the South American continued. "I am very optimistic about the response of my knee.
"However, it would be very premature to say today whether or not I'll be at the World Cup. There are many days left before a final decision needs to be made."