The Spaniard has been linked with Niko Kovac's job at Bayern.
However, Rummenigge insists there's been no discussion about Lopetegui inside the club.
He said, "I do not know him enough, I have to say it frankly and honestly. I did not follow him so closely, neither with the national team (of Spain), nor with Real Madrid.
"We never talked about a new coach at Bayern Munich."