Spurs have lost their last two matches away to the Gunners by the same scoreline, with Arsene Wenger's men claiming successive 5-2 victories.
Dawson believes that Spurs are capable of putting those disappointments behind them when the two sides meet in only their third match of the new campaign, a North London derby at the Emirates on August 31.
He told the club's official website: "We know what that game means to everyone.
"The Emirates hasn't been great for us recently but that's history now, hopefully we'll go there early in the season and get a positive result."
Spurs will open the season with another London derby on the road, starting with a trip to newly-promoted Crystal Palace on August 17.