Everton finished seventh last term after another strong second half of the campaign.
"It's always tough whenever we've faced Everton, and always decent games, home or away," Dawson told the Spurs website.
"They are good team, everyone knows that and they will look to get off to a better start this time around.
"Every game in the Premier League is tough. There aren't many games where you look at it and it's three points guaranteed.
"There are games where you'll think 'hopefully we'll get three points there' but there is never a guarantee. Just look at our form against the bottom five teams last season and that says it all. Every game is a challenge.
"We'll be back in July and that's when we start preparing for Everton. That's the game we'll be focusing on."