Discussions between Rudiger’s representatives and the club had taken place last month.
However, the player is yet to sign an extension and no improved offer has been tabled.
Rudiger’s current deal expires in the summer and the German insists he is happy at Stamford Bridge.
However, the 28-year-old admits “there are also other people who have to make decisions”.
Real Madrid, Paris Saint-Germain and Bayern Munich are one of a number of European clubs interested in signing Rudiger on a pre-contract agreement – and talks are ongoing with Rudiger’s representatives.