The 22-year-old was named man of the match yesterday after helping Belgium come from a goal down to score a precious 2-1 victory over Algeria in Group H.
De Bruyne, rescued from a miserable spell at Chelsea when he signed for VfL Wolfsburg in January, produced a dynamic second half performance as the Red Devils recovered from the shock of conceding a 25th-minute penalty by Sofiane Feghouli.
"We have a lot of expectations as do the supporters," he said.
"But every match is a tough one. We will take them one at a time.
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Belgian manager Marc Wilmots, who caused some consternation among the players with his line-up and positioning, said his side needed to adapt to their relatively recent status of being considered outsiders for the title.
"Our opponents are scared of us and therefore they realign their tactics when they play us," said the 45-year-old, who has yet to lose a competitive match since he took over at the helm in 2012.
"We are maybe the fastest team in the world on the counter-attack -- as was clear in the lead-up to our second goal -- therefore our adversaries play very deep in order to try and deny us space.