Chelsea have completed the signing of Leicester centre-back Wesley Fofana in a deal worth up to £75m.
Chelsea will pay an initial £70m, with a further £5m possible in add-ons.
Leicester and Chelsea agreed a fee for Fofana on Saturday, with the defender flying to the USA on Monday for his medical.
Chelsea had made three previous bids for Fofana which were all swiftly rejected by Leicester – two in excess of £60m and one believed to be £60m plus £10m in add-ons.
Rodgers confirmed the player had been training with Leicester’s U23 team after failing to turn up to a training session last week, with the Frenchman trying to force a move to Stamford Bridge.
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After Chelsea beat Leicester 2-1 on Saturday, Rodgers revealed his intentions to get a quick resolution in the Fofana transfer saga.
“I think it’s the same with any player,” he said. “If they decide they want to move and they see their future elsewhere, it’s always better to have it done as quick as you possibly can.
“You have to prepare a team and you have to replace that player. It’s only normal – every coach will tell you the same. I don’t think it benefits anyone if it drags on.”
How to follow Deadline Day on Sky Sports
Time is running out for clubs to do business in the transfer window. Here’s all you need to know about Deadline Day and how to follow the drama with Sky Sports.
On TV, online and on the go: You won’t miss a moment of the Deadline Day drama with Sky Sports.
Follow the latest transfer news and rumours in our dedicated Transfer Centre blog on the Sky Sports website and app – and make sure you bookmark our latest Done Deals page.
You’ll be able to keep track of all the developments on Sky Sports News, as well as getting the best analysis and reaction from our studio guests and reporters at grounds across the country and in Europe.
Our Deadline Day programming starts at 7am and continues throughout the day on Sky Sports News, where you will be able to hear from Paul Merson, Clinton Morrison, Shay Given, Wes Morgan, Paul Robinson, Lianne Sanderson, Nigel De Jong and many more.
And to avoid missing out on any of the news wherever you are, look out for live streaming of Sky Sports News on the Sky Sports News YouTube page and on the Sky Sports app at 7am, 12pm and 8pm on Thursday.