Rudiger has just one year remaining on his current contract.
He came close to leaving Stamford Bridge in January before Tuchel's arrival revitalised his Chelsea career.
The 28-year-old can sign a pre contract agreement with a foreign club from January 1.
However, Sky Sports says Rudiger is only thinking about staying with Chelsea.
Should an offer not arrive from the Blues, the Germany centre-back is happy to see out the final 12 months of his contract before leaving for free in the summer of 2022.