Rudiger rejected a £230,000-a-week extension offer from Chelsea.
Chelsea boss Thomas Tuchel has reportedly picked Jules Kounde and Wesley Fofana as centre-backs considering the departure of Rudiger.
The club will have to replace the 29-year-old this summer after Tuchel confirmed the German will be departing on a free transfer.
Real Madrid are supposed to get his signature after he rejected a £230,000-a-week extension offer from Chelsea.
According to Evening Standard, Tuchel has identified Sevilla’s Kounde and Leicester youngster Fofana as potential replacements for Rudiger.
Tuchel has stated that it will be difficult to replace 29-year-old defender.
“Even when the sanctions are in the past, it will be incredibly difficult,” he said. “Toni is what he is. He is a big personality, a big leader. He takes the fear away from other people, gives you confidence when he is next to you, and has played 50-60 matches over 90 minutes with incredible consistency.
“So it will be challenging, but like always, no matter how much I love Toni and how big a role he played, there will be Chelsea without Toni Rudiger and we will find solutions.”