Spurs lead the Nerazzurri 3-0 in the Europa League Round of 16 following the first leg at White Hart Lane last week but Dawson feels Thursday's meeting in Italy will be a much sterner test.
"We all know how tough it is in the San Siro and one thing is for sure, they won't lie down," he told the club's official website.
"There is a lot of pride at stake and I'm sure they will be hurting after losing 3-0 like they did at the Lane. We have to be ready for that.
"We're in a great position, don't get me wrong and we now have to go there, do a professional job and if we do that, we'll be okay. It won't be a walk in the park though, that's for sure."