Chelsea boss Mourinho is thought to be weighing up a move for Eto'o as he looks to bring in a new striker with the Cameroon ace thought to be available at Anzhi Makhachkala.
Russian side Anzhi are keen to offload a number of stars due to financial problems and Eto'o could be one of the players made available.
Eto'o, who played under Mourinho at Inter Milan, is a huge fan of the Portuguese and admits he would be interested in a move to work with him again.
"There is only one Jose Mourinho. I have played under a lot of great coaches - but there is no other character in the game like Jose," Eto'o is quoted as saying in the Daily Mirror.
"He is one of the best coaches in the world - and we had a lot of success together at Inter Milan. I would like to have the chance to play under him again - because it is never boring when Jose is around.
"Of course Chelsea are a great team - and when we have all the offers on the table then I will discuss with my agent and see what my next step is."