The hosts took a 1-0 lead in the series by closing out a 381-run victory at The Gabba.
A pivotal second day saw Australia turn the match around after the tourists had gotten on top, with Mitchell Johnson and Nathan Lyon tearing through the batting lineup in a devastating second session.
Lehmann said that it has been a long time since the team inspired the Australian public, and hopes that they can usher his team to another victory in Adelaide.
"My hope for the second Test in Adelaide and beyond is that Australian fans can replicate the crowd force of Brisbane," he wrote in News Limited.
"The noise in Brisbane when Johnson and Lyon were spearing through England's first innings was something to behold.
"The volume level was sustained for over after over. It is a long time since we have felt the sort of vibe that the whole country was behind us."
The second Test gets underway on December 5.