Goal.com revealed on Tuesday that the Atletico Madrid man has set his heart on a switch to west London and the Blues have opened negotiations for a £48.1 million deal for him.
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When asked if Falcao would be the right man for the Blues, Luiz told reporters: "Of course [he'd be a great fit]. All of the players would be happy because Falcao would be a great player.
"He's a great player. It's particularly hard to stop him."
The prospective deal to take Falcao to Chelsea meets the buy-out clause in his Atleti contract and is just short of the £50m paid for Fernando Torres almost two years ago.
The striker, nicknamed El Tigre, has been in blistering form this term, netting 13 times in just 11 games in all competitions, including a stunning hat-trick as Atletico demolished Chelsea 4-1 in the Uefa Super Cup.