After a quiet start, Hulkenberg was one of the sensations of late 2013, producing a string of spectacular underdog performances for Sauber.
Asked on the AUTOSPORT Stage with KX whether Hulkenberg's form was a source of pressure, Sutil said it was not on his mind.
"Sure, he did a good job," the German told the AUTOSPORT International audience, "but I don't see that as pressure.
"You always get pressure your whole life if you want to achieve anything. I want to have competition, I like it."
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Sutil said moving to Sauber had been good for him after spending his whole F1 career so far with what is now Force India.
He joined the team as a test driver when it was known as Midland in 2006, then raced for it from 2007-11 and again in '13, bridging its Spyker period into the Force India era.
"I think this new team is a very good challenge for me," said Sutil.
"It's a new step and I needed it after so long with the same team.
"There are a lot of benefits: it's close to my home in Switzerland, I can speak German there, and it's got one of the best windtunnels, so there's a lot of potential."
Force India has changed both its drivers for 2014, with Sergio Perez moving from McLaren to join Hulkenberg.
While Sutil was able to secure a Sauber seat, his erstwhile team-mate Paul di Resta looks unlikely to remain in F1.
"He's a strong driver and I enjoyed working with him so it's a shame he's not there but there's how quickly it can go," said Sutil.
"Nevertheless, he's still a young driver and there could be a chance for him in Formula 1 again if he can find his way."