Not quite, but as close as he ever will to begging I suppose. According to BBC Sport, Mourinho has recently made public his apology to Andy Johnson for his comments about the player.
I think its good that Mourinho can admit he was wrong (though I'm sure the threat of legal action helped his conscience) and that nothing larger came out of this stupid fiasco.
Of course it ends all happy-go-lucky, with Everton confirming that their relationship with Chelsea is still admirable. Until Jose opens his mouth again anyway :-)