The Foxes have yet to make a summer signing, despite the fact that their longest-serving player has left for Nice.
After an agreement was reached between the clubs, the 35-year-oldDenmark international goalkeeper completed his medical.
Brendan Rodgers said that if he found a new club, he would be allowed to leave the King Power Stadium.
The most successful period in the club's history has been in the last three years, with the most recent being the FA Cup and Community Shield.
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After his contract with Rangers was torn up, Ramsey moved to the south of France to find a new home.
There have been reports that James Maddison, Youri Tielemans, Harvey Barnes, and other players are on their way out of the club.
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The second bid for Maddison was in the region of $50m.
The Magpies are waiting for a response to their improved offer for the 25-year-old.
The value of Maddison is thought to be close to $60m.
The club's record signing would be Maddison if the offer was accepted.
Sky Sports' senior reporter spoke on the show.
He is not the only experienced player that could potentially leave as the only club in the league that hasn't strengthened their senior squad.
It's a group that needs to be refreshed because of the injuries it has had.
I'm worried about Brendan Rodgers if there's going to be exits of fundamental players without solidifying the squad and sanctioning these exits.
It's not a good indication of how they're going to perform this season because they have been standing still.
They need to let players leave first before they can invest, and eventually they will know their targets." They've recruited well in the past.
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The transfer window will close at 11pm on September 1st.
Sky Sports has a dedicated Transfer Centre website where you can keep up-to-date with all the latest news. Sky Sports News gives you the ins, outs and analysis of sports.