The Canaries were stuffed at Old Trafford last weekend, as Japan international Shinji Kagawa rolled in a hat-trick.
However, results elsewhere failed to eat into Norwich's eight-point cushion over the bottom three, and Chris Hughton's men will be targeting a second successive home victory when relegation-battlers Southampton come to Carrow Road on Saturday.
"There are teams at the bottom fighting for their lives now and there is still work to be done for us," centre-half Turner said in the Eastern Daily Press.
"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.
"Southampton is a huge game where we will be looking to put in a performance at home again, and take something from that game."
- Sports & Recreation
- Chris Hughton