Bayern chairman Karl-Heinz Rummenigge said Ballack's agent had offered the player to both Real Madrid and Chelsea.
But Mourinho said the 29-year-old did not feature in his plans - and insisted he was not looking to make any signings in the January transfer window.
"I am not even thinking about other players. I don't want players in the open market in January," said Mourinho.
"I don't want players because at this moment I am just concentrating on my squad."
The German international's contract with Munich expires next summer.
Rummenigge said on Thursday that he had been in touch with both Real Madrid president Florentino Perez and Chelsea chief executive Peter Kenyon.