Davis: Southampton know we're in fight of our lives
Davis knows there has to be improvement at both ends of the pitch for the Saints to avoid a quick return to the Championship after achieving successive promotions under Nigel Adkins.
He said: "Monday night was similar to other games this season where for periods we've been on top.
"There have not been many games where we've been outplayed. That is frustrating but it gives us something to build on. It is important we tighten up at the back and take a few more chances and then hopefully it will come together.
"All you can do is get your head down, keep working hard and try and put things right what are going wrong on the training pitch.
"We've got a home game with Swansea this weekend and that is another good opportunity to get us going and get some points on the board.
"We are still confident can get out of this position, without a doubt. It is still early in the season but we know where we are at this point in time. We are in a fight."