The Germans backed up their 4-0 demolition of Denmark by slaying Spain - who were the favourites ahead of the event - with a 2-0 win in Brentford.
Klara Buhl and Alexandra Popp scored the goals as Die Nationalelf secured their place in the quarter-finals.
Nevertheless, Voss-Tecklenburg believes there is more to come as her side, who were priced by the bookmakers as fifth favourites ahead of the event, target a historic ninth Euros crown.
"We won't make the mistake of letting things slide. We would do well not to think about the quarter-finals just yet," Voss-Tecklenburg told a press conference.
"You wouldn't think it would be easier against Norway than against England. We do well to be humble and take the next step."
Reflecting on the match, the German boss added: "We wanted to operate in two pressing zones. The plan worked right away and the (early) goal played into our hands.
"Then there came a phase in which we didn't do so well, but then we were able to regulate it with the 2-0.
"I can only compliment the team for this willingness to defend, for the ways that hurt, that was outstanding.
"This team is ready to show the discipline and live with it themselves, which feels good."
Germany will now take on either Norway or Austria in the quarter-final, but will first set their sights on Finland as they look to close out the group stage in style.
Spain, who struggled without the influence of Ballon d'Or holder Alexia Putellas, will take on Denmark in a must-win clash at the Brentford Community Stadium.