The Material Girl wants the Lady to open for her next year.
A source said: “Madonna is absolutely obsessed with Gaga.
“She thinks she is the most cutting-edge star to come out of pop in ages and desperately wants to work with her.
“Basically Gaga can name her price.”
Madonna has only just finished her Sticky ‘N’ Sweet tour but is already locked into another deal with promoters, and plans are in full swing.