The Germany international forward believes that there were contrasting motives and events leading to both transfers, with the Pole's impending switch less of a shock
Bayern announced on Saturday that the Poland international has agreed a five-year deal with FCB and will join his new club on a free transfer in the summer, making him the second player to make the move from Signal Iduna Park to the Allianz Arena within a year.
However, Muller does not think that the 25-year-old's imminent departure will anger the Dortmund faithful as much as Gotze's exit at the end of 2012-13.
"I don't think he faces a difficult last few months at Dortmund. People already knew that he would leave BVB. It's not as emotional as with Mario Gotze," the Germany international told Bild.
"The announcement that Lewandowski will join Bayern did not surprise me. The transfer was to be expected.
"I don't know him personally, so I'll just let him surprise me. He has had a good season so far and I don't think that he will score fewer goals now all of a sudden."
Lewandowski has netted 11 goals in 17 Bundesliga appearances so far this term.