Schweinsteiger, 26, has been the subject of criticism in the newspapers as Bayern, currently fourth in the Bundesliga, are in danger of missing out on Champions League qualification.
At a press conference ahead of this weekend's clash with Schalke, Schweinsteiger launched into an angry tirade at Sport Bild's chief reporter, Christian Falk.
"It's a joke what you write," he said. "You don't understand anything. You should treat me with more respect.
"I don't want to go on. I won't have a moron talk rubbish to me like this. Oh... arse."
He added: "Normally, if all those people weren't here, if it was just us two, I wouldn't even listen to you. It would be very different, I swear."
Schweinsteiger also responded to Robben's suggestion that Bayern lack leadership following the departure of Mark van Bommel in January.
"I'm not a small captain," Schweinsteiger said. "When I say something, everyone in the changing room listens to me. You can ask any of them. I do everything for this club. I play through pain."
Bayern captain Philipp Lahm said he felt Robben's remarks had been misunderstood but was nonetheless unhappy with what was said.
"Of course, this goes against myself," Lahm said. "I don't think it was Arjen's motivation, but I will talk to him about this."