Robben tore an adductor muscle on September 3 but played a full part in training on Monday and is set to make his comeback after the international break, in the Bundesliga clash with Werder Bremen on October 17.
Ribery, meanwhile, has been sidelined since March with a persistent ankle problem but he is expected to be given the green light imminently to resume full training.
Speaking after Sunday's 5-1 demolition of Borussia Dortmund, Rummenigge stated: "On Arjen, I hope that he could come back into the team after the international break.
"As for Franck, he will come back soon. He has been back running in training for a long time now.
"Having the two of them back would be great for our game!"
Despite being shorn of the services of two of their key players, Bayern have been in impeccable form so far this season - they are currently seven points clear at the top of the Bundesliga after opening their campaign with eight successive wins.