The game was Southampton's fourth straight win at home, having lost just once so far this season. However, Pochettino has urged his players to remain grounded to avoid complacency.
"The only thing that can stop us from [continuing this form] is ourselves," he told the club's official website.
"We could be our own worst enemy. We need to keep working with the same work ethic and humility because we will probably be getting a lot of compliments due to how we played today
"We need to make sure that we manage those compliments in a good way and turn them into positive energy to keep up our performances. We can't let it get to our heads – we need to manage expectations and just keep doing what we are doing."
Southampton face Arsenal and Chelsea in their next two Premier League fixtures.