The tourists lead the series 1-0 after a draw at Headingley but Smith believes that the attacking nature of his side's cricket on the final day in Yorkshire proves that they will be looking for a victory at Lord's.
"We showed with our declaration what our mindset is and I don't see it changing it Lord's at all," Smith said. "If anything, we will take a step forward. There were positives for both sides in this match and probably both teams can improve a little bit.
"From our perspective, we played positive cricket with intent. We played to win here."
The final Test match begins on August 20.