Sule, 25, has been linked with a switch to west London with recent reports suggesting that Thomas Tuchel is interested in the Germany international.
He has 18 months or so left on his deal at the Allianz Arena after joining 2017 and his future at the club remains unclear.
But as Chelsea go in search of bolstering their defensive unit this summer, Sule isn't the priority for the Blues.
As per Christian Falk of BILD, Sule is currently not the number one target for the Blues.
It remains to be seen how strong Chelsea's interest is in Sule, but his name will no doubt continue to be linked up until the summer.
"We want the good German national team players at FC Bayern. Niklas still has one year of the contract," Rummenigge told ZDF.
"We will hold talks and see where they'll lead. We will look at the whole thing seriously and calmly by the summer.
"Corona [Covid-19 pandemic] has also caused financial damage to FC Bayern.
"If we find a solution, we are happy to extend the contract, but that will only be possible under certain conditions."
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