However, since falling to that Antoine Griezmann double in Marseille, Germany have bounced back to go on a 21-game unbeaten run, most recently drawing friendlies against England and France.
Germany won all 10 of their qualifiers for this summer's tournament, while Spain had nine wins and a draw.
"It will be a game in which both teams will want to show what they can do," said Low.
"However, neither will want to lay their cards on the table. If we were to play Spain at the World Cup, it would be a very different game and we know they are a top team in every respect.