Saints have spent much of the first part of the campaign in the relegation zone and found it particularly hard at the start as they won just once in their opening 11 games.
However, a draw with Arsenal on New Year's Day lifted Nigel Adkins' men out of the bottom three and midfielder Davis says the summer signings are now fully settled.
But he is taking nothing for granted and insists Southampton will continue working hard to ensure they keep moving in the right direction.
"Over the last six to eight weeks we've shown the shape of the team is really good," Davis told the Daily Mirror.
"We've got the right balance in the side and we'll just try and continue that. Hopefully that will see us climb the table.
"We were new to the league and had tough fixtures. A lot of new players came in and it took a lot of time for the players to bed in and get to know each other's games.
"We are feeling confident but we know it is going to be an important second half of the season.
"Each and every game is going to count and you don't know how valuable some of these draws might be come the end of the season."