The Bayern Munich forward was the star for Germany at Hampden Park, setting up Ilkay Gundogan's decisive strike having seen his first-half double cancelled out by a Mats Hummels own goal and James McArthur's fine, lofted effort.
"Muller has a sixth sense," Germany coach Low told reporters. "He only thinks of scoring, scoring and scoring. You can't teach that."
"Of course I expect us to qualify at the next opportunity," Low responded when asked what result he is predicting in Dublin.
"I am very happy we won tonight, too. It was difficult for us but, at the end of the match, the reality is that we were the better team.
"We expected them to do everything because it was maybe their last chance to qualify."
Germany are two points clear of second-placed Poland and four points clear of third-placed Ireland with two games to go in qualification.