Falcao failed to impress in his loan stint at Manchester United last season, yet has been given a second chance in the Premier League after being brought in on loan to defending Premier League champions Chelsea.
And the Blues coach feels the Colombian skipper will bounce back from his numerous injury woes and poor 2014/15 campaign to shine in his new club colours.
"When a player is injured or has bad consequences of a big injury there is sometimes nothing you can do,” Mourinho said. “We made ourselves sure that was not the case with Falcao because if that was the case he would not be with us.
"He didn't perform [at United] for many reasons. Some players don't perform with me, some players don't perform with Chelsea, they go to other clubs and they perform. This can happen. So we know that Falcao is in good conditions related to the surgery he had before he went to Man United.
"We believe that he can with us and to replace a big player like Didier we wanted to go with another big player with experience, ready, so these three strikers for us – Falcao, Rémy and Diego. We are very happy."
Mourinho then spoke about highly-coveted Juventus midfielder Pogab, who has been linked to a number of top European clubs in recent months, yet despite praising the French international, feels no need to bring in the young star.
"Pogba is one of the top players in the world. Pogba goes to any team and improves that team automatically,” he said. “If he stays at Juventus, Juventus will be very strong again. If he goes somewhere else he will improve immediately a team. This is not our case.
"We are changing [Petr] Cech for Begovic, we are changing Didier [Drogba] for Falcao and we are changing kids by other kids. I think everybody has an interest in Pogba. But there are things you can do and things you cannot do. I love the Eiffel Tower but I can't have the Eiffel Tower in my garden. I can't even have the Eiffel Tower of Las Vegas."