Rudiger and Madrid had opened preliminary discussions regarding a contract renewal, but talks are now on pause, according to a report from Spanish outlet Marca.
The 32-year-old's current deal at the Santiago Bernabeu expires at the end of the season and initial conversations between the club and the player's representatives reportedly began several months ago, with financial figures already on the table and a mutual desire to reach an agreement. However, these negotiations have been mutually postponed following the muscle injury the German international sustained in late September.
The decision to halt negotiations was made by common accord, with both the player and the club feeling it was not the appropriate time to finalise figures while Rudiger focuses on his recovery.
The 81-cap Germany international has been sidelined for months with a hamstring injury that required surgery, and his expected return date is not until mid-December 2025.
The established roadmap, according to Marca, is to resume the dialogue in the early part of 2026. This restart is contingent on Rudiger returning to first-team action and demonstrating that his physical level remains that of an "indisputable pillar" for Carlo Ancelotti's defence.
The club initiated the talks months ago, signalling their intent to keep the former Chelsea man as an important part of their sporting project.