Villa scored five goals for the second pre-season game in a row, having beaten Crewe Alexandra 5-1 last Friday, and Lambert believes that his side will ask questions of opposition defences this season.
"It was excellent. We started really well again. We were pressing," he told the club's official website.
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"We play a passing game and we're getting better and better.
"We definitely have goals in us, that's for sure."
Fabian Delph and Gabriel Agbonlahor scored a goal each in the first half before Christian Benteke, Jack Grealish and Gary Gardner got their names on the scoresheet after the break.
Lambert was pleased to see five different scorers, but also highlighted his side's efforts at the other end of the pitch.
"It's important if you can spread the goals around the team too, which we did. It could have been more," he continued.
"We were very good. It was pleasing that we kept a clean sheet too. We were solid throughout. We looked really good.
"The good thing was we were pressing throughout the game.
"We are getting better and better. There are a few weeks to go and it's all about that Arsenal game [on the opening day of the Premier League season]."
Lambert also confirmed after the match that Aleksandar Tonev and Jores Okore are both close to recovering from their respective hamstring and thigh injuries, tipping both to return to training on Friday.