The Colombian looks set for another loan spell in the Premier League after failing to impress at Manchester United.
However, Falcao failed to impress while on loan at Manchester United last season as he managed just four goals in 26 Premier League appearances, with United deciding not to take up an option to buy him permanently.
Now, Redknapp has described the move as 'strange', suggesting he will struggle for game time at Stamford Bridge.
“Have to say Falcao to Chelsea is a bit of a strange move,” he said on Kicca.
“Chelsea only play one up front so it will be as cover for Costa and if he isn’t going to play regularly then it might be tough for him to find the form he had before he moved to Old Trafford.”
Indeed, it is that form prior to his time with Monaco and Manchester United that Mourinho is probably keen to rekindle.
Before his move to the French side for £50 million in 2013, he had scored 70 goals in two prolific seasons with Atletico Madrid, while before that he had scored 72 in two seasons with Portuguese side Porto.
However, a knee ligament injury suffered in January 2014 saw Falcao miss the World Cup and he has failed to find his previously glittering form since, although if there is anyone to coax it out, it’s Jose Mourinho.