Byram was speaking after their 0-0 preseason friendly draw with Manchester United in Stockholm.
"The intensity (in pre-season) has been a lot harder this year, which you’d expect coming back to prepare for the Premier League," said Byram.
"There’s obviously not as many games as there is in the Championship but for us, fitness is going to be huge. If we can be the fittest team in the league, then it can only help us. So it’s something that everyone’s been working really hard on - there’s a lot of tired legs and tired bodies but we’re through the second week and looking forward to the camp.
"‘It (the football) will be very similar to last season. The style of football we want to play - possession based, that’s in our DNA and that’s how we want to play. It’s a huge step up and it’s obviously a much more competitive league so there’s obviously areas that you can’t play the same as in the Championship but it’s something we’ve been working on since day one."
Byram added, "We're not under any illusion. We know how hard it is to stay in the Premier League. This season, we’ve got a lot more time to prepare for each game so to have for the most part, a full week to prepare will be very beneficial. Every single point matters and we’ll do everything to get as many points as we can."