Coming to the end of a two season loan with Borussia Dortmund, Hakimi's form in Germany has sparked the attention of major clubs across Europe.
Hakimi is expected to return to Real for preseason, however Bayern are keen on keep him in the Bundesliga.
And knowing Real are keen on Lucas, Bayern are prepared to include the France international in their offer for the Morocco international.
Lucas only moved to Bayern last summer from Atletico Madrid for €80m.
"The latter two are world champions and of course want to play regularly and be important to their team.
"I really don't want to talk about bad purchases with these two, because they are not. They are certainly good football players for whom things have been very unhappy lately. I am talking mainly about the long and painful injuries they suffered."