The Northern Irish manager is said to be leading the race for the Colombian's signature, as tweeted by BBC, ESPN and CNN football correspondent Mina Rzouki:
Rzouki also made it clear Liverpool fans shouldn't get Falcao's name printed on their shirts just yet:
Rodgers has bolstered his squad depth with the arrival of Rickie Lambert, Adam Lallana, Emre Can, Lazar Markovic, Dejan Lovren, Divock Origi and Javier Manquillo, the last of whom arrives on loan. As noted by Teddy Cutler of The Independent, it is likely Falcao would also head to Anfield on a temporary basis with a view toward the signing becoming permanent.
Cutler reports Real Madrid's and Manchester City's interest. To contradict Rzouki's tweets, the Daily Mail's Simon Jones believes Madrid "remain favourites" to land the player who will likely spark a tug of war between Europe's elite if his availability is confirmed.
Monaco boss Leonardo Jardim previously indicated he expects the striker to remain at the Stade Louis II after injury called a halt to his debut season in France. He said the player is "with us 100 percent," as per Ian Holyman of ESPN FC.
Vadim Vasilyev, sporting director at the principality club, also confirmed he hasn't spoken to Madrid about a possible transfer, as reported by L'Equipe (via Jones): "I have met Real officials many times, and the Falcao dossier was never discussed. There are no talks, and we really are counting on him. I think he's happy to come back from injury and re-find his team-mates."
Falcao would offer Liverpool a different type of forward than the outgoing Luis Suarez, who netted 31 goals during the club's run to second last season. He is less agile than the Uruguayan, but he possesses greater strength and physical dominance in the air.
The former Atletico Madrid man can finish spectacularly from outside the area or tuck chances away from a few yards, often latching on to opportunities that he doesn't have a right to take. Falcao's goal during Monaco's 1-0 win over Arsenal in the Emirates Cup highlighted his quality when creating space and finishing with a quick burst of movement.
Questions would be asked of Lambert's value if Falcao headed to Liverpool. The Englishman failed to score during the club's pre-season tour of the USA—missing a couple of key chances during the International Champions Cup final loss to Manchester United—and will need to hit the ground running to impress his boyhood club.
Former England international Trevor Francis believes Rodgers "needed a £30 million striker" heading into the summer, while offering concerns for Lambert's form, as reported by Sky Sports: "I've watched him in three or four games and in one game he was taken off at half-time and today he struggled throughout. He didn't look comfortable playing in those surroundings."
Supporters will let themselves dream of adding Falcao for one moment. His signing, even on a loan basis, would significantly aid Liverpool's quest to win their first Premier League title. Individuals such as Raheem Sterling and Philippe Coutinho could provide the Colombian with expert service as well as offer the pace to burst beyond his hold-up play.
It wouldn't be beyond Rodgers to sign Falcao—the manager's ambition never ceases—but it could be difficult for Liverpool to attract him. The prospect of Falcao joining Real Madrid would certainly make negotiations more difficult, meaning a deal needs to be tied up quickly if it's to go ahead.