And Turner fears a backlash from the English leaders after Bath's last-gasp 18-16 defeat at three-times champions Toulouse last weekend.
Turner said: "I would like to say I did not watch Bath's performance in Toulouse but I did. I was not surprised by their performance in Toulouse and they should have won. They will take a lot of positives after giving them the runaround.
"In the past Bath played dour rugby but they have moved onto another level now. They have the best attack and are the best team in England.
"Sides who fall off against them and miss tackles are put to the sword so we will have to defend really well and play to our maximum. It will be a huge challenge for us."
The in-form Dragons are full of confidence following four straight wins over Ulster, Edinburgh, Newcastle and their opening 32-22 European triumph against Glasgow Warriors.
But the Welsh region have never won an away Heineken Cup tie across the Severn Bridge in four campaigns.
Now Turner has pin-pointed Bath's potent South African half-back pair as the key to breaking their duck on English soil.
Turner said: "I watched them beat Wasps in Wycombe a couple of weeks ago and they have a fine all-round game. But the key to the way they play comes from their half-backs. "When scrum-half Michael Claassens plays well, Bath play well while Butch James gives them another dimension and is a World Cup winner."
Turner has named the same side with veteran flanker Colin Charvis again included.
Newport Gwent Dragons: P Dollman, G Wyatt, R Sidey, M Stcherbina, R Fussell, J Arlidge, W Evans; A Black, T Willis (capt), R Thomas, A Jones, L Charteris, J Bearman, L Evans, C Charvis
Replacements: L Evans, S Jones, A Coundley, G Webb, A Hall, R Lewis, S Connor, A Smith