The Clarets boss has done a remarkable job this season, guiding his side to seventh place on the Premier League table when many expected them to get relegated.
"I think it's a tough one," said Dyche when asked if he would interested in being England manager.
"It's not quite the poisoned chalice we make it out to be but it is a real tough job.
"You have to win a lot, you have to win convincingly and you have to win in a certain way. People expect a lot.
"I back Gareth [Southgate] to the hill. But in years to come, who knows? I personally think the more seasons you can get under your belt, the more you learn about football, about footballers, the media, dealing with hierarchies and board members.
"I think that's got to be important when you go into the full international scene. It's not vital and as I said I totally back Gareth, I think he's brilliant. However, I certainly don't think I've got every answer.
"I think I've got a little bit of a handle on some of the stuff that comes with this job and that's it at the minute. I'm open-minded enough to speak with whoever I can and get as much information as I can out of them."