The Saints picked up their first win of the season at home to Aston Villa two weeks ago, beating the Midlands side 4-1.
Now, Adkins believes that his side need to stay positive when playing at St Mary's Stadium if they want to pick up the points.
"You have to be positive at home. We have been very good at St Mary's over the last few years and again starting this season," said Adkins.
"The atmosphere in the last home game when we beat Aston Villa 4-1 was electrifying. It was fantastic. The supporters lifted the players, the players lifted the supporters so everyone was together as one.
"We know we've got to be at the top of our game, like every game in the Barclays Premier League, but we've got to go and look to win our games at home."
Southampton face Fulham in the early kickoff on Sunday.