The Brazilian midfielder has been linked with a host of teams this summer, including Manchester United and former employers AC Milan.
However, while revealing that a number of sides are chasing Nuri Sahin's services, Mourinho has admitted that offers for Kaka have not been so forthcoming.
"Kaka's situation is completely different," Mourinho told reporters. "We have no official request for Kaka but we do for Nuri."
Kaka joined Madrid from Milan for £50m in 2009.