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The 28-year-old has been a firm fixture in the national side since 2004, amassing 95 caps and scoring 23 goals.
But Low has left him out of his latest squad, saying that the player is not fit enough to play a part after struggling with injury over the past 12 months.
"I have spoken at length with Bastian," Low said in a DFB statement.
"We have agreed that it takes a while to get back into the rhythm of playing again. Our plans are to have him back for both matches in October against Ireland and Sweden."
Germany face Faroe Islands and Austria on September 7 and 9.
Goalkeepers: Manuel Neuer (Bayern Munich), Ron-Robert Zieler (Hannover 96), Marc-Andre ter Stegen (Borussia Mönchengladbach)
Defenders: Jerome Boateng, Holger Badstuber, Philipp Lahm (all Bayern Munich), Mats Hummels, Marcel Schmelzer (both Borussia Dortmund), Benedikt Höwedes (Schalke 04), Per Mertesacker (Arsenal FC)
Midfielders: Mario Götze, Ilkay Gundogan, Marco Reus (all of Borussia Dortmund ), Julian Draxler (Schalke 04), Mesut Ozil, Sami Khedira (both Real Madrid), Toni Kroos, Thomas Muller (both Bayern Munich), Andre Schurrle and Lars Bender (both Bayer Leverkusen), Lukas Podolski (Arsenal)
Forwards: Miroslav Klose (Lazio)