Despite only winning one of their last 11 games in the Premier League, Turner is confident the Canaries can bounce back from the 4-0 drubbing by Manchester United last week in time for Saturday's clash with Southampton.
Norwich beat high-flying Everton 2-1 in their last home game and Turner is hoping they can extend the eight-point gap to the relegation zone with victory over Southampton.
"I think at home we have always felt confident that we can at least pick up points from games, and I think we have shown that," said the 29-year-old.
"There have only been a couple of games where we have really let ourselves down. Apart from those, we have been strong and we have always felt that we have got a chance of beating teams.
"Of course, they might have a bit more pressure on them now, there are teams at the bottom fighting for their lives now and there is still work to be done for us.
"We will obviously be taking on every game fully focused and aiming to put more points on the board.
"We have got a bit of breathing space between ourselves and the bottom three, but we know what we need to do to stay clear of it and Southampton is a huge game where we will be looking to put in a performance at home again, and take something from that game."
Turner has come in for praise over the last few weeks after a string of good performances for the Norfolk club, but his form comes as no surprise to him.
"I have always believed in my ability that I could perform consistently well for this club, and the last few weeks have obviously been very pleasing for me," added Turner.
"Old Trafford was disappointing, but it is just one of those things. As a team, we will look to dust ourselves down and get ready for Southampton."