The former Chelsea player scored 10 goals in 34 games for the Bundesliga side last season and has been linked with a move back to the Premier League, according to the Manchester Evening News.
Former Wolfsburg star Dzeko believes the 24-year-old should be in no rush to leave his former side, where he helped the club achieve a second-place finish and German cup win.
He is quoted as telling German website Kicker: “Top players like Kevin De Bruyne won’t stay at Wolfsburg forever.
“Everybody dreams of one day playing for a leading international club. It was the same with me after we won the league in 2009 – I had the desire to do something different.
“Kevin has an advantage. Through his time at Chelsea, he knows the Premier League and knows that it’s completely different.
“A lot of players who excelled in other leagues have had problems here – take Angel Di Maria.”
De Bruyne had an unsuccessful two year spell at Stamford Bridge, but Dzeko remains positive that he can still mix it at the highest level.
The Bosnia striker added: “I’m certain that (Kevin) has what it takes to play for one of the top clubs in Europe but he’s also aware that at these clubs there are 20 top players who always want to be on the pitch.
“Maybe it would also help him if he plays in the Champions League with Wolfsburg this season and takes another step in his development there.”