Arsenal midfielder Ozil did not join team mates on Monday in Duesseldorf for the first time since their World Cup victory 50 days ago and will fly in on Tuesday after nursing a minor injury.
"It looks very tough for Wednesday for Mesut," Bierhoff told reporters. "Hopefully, he will be fit for Sunday."
Ozil is one of 18 World Cup winners called up in the 21-man squad for the World Cup final rematch against the South Americans and Sunday's first Euro qualifier in Dortmund.
"This fourth (World Cup) star belongs to the entire country and that shows that we are Germany's team," Bierhoff said.
"But now we need to take it forward. We want to keep having positive performances."
"We have to hit the ground running," said keeper Manuel Neuer, among the candidates to replace Lahm as captain. "We have to have a good match against Argentina to prepare for Scotland because the team will be slightly different.
"It is very important for us to start our qualifiers with a win over Scotland on Sunday," said Neuer.
Germany are in the European qualifying Group D along with Georgia, Poland, Gibraltar, Scotland and Ireland.
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