Two goals from Joel Porter and a 72nd-minute winner from Daniel Nardiello earned Pools the points and moved them five points clear of the drop zone with two games to play.
"The performance was exactly what we needed and with a little more composure we could have scored two or three more goals," Turner said.
"I refuse to say it's job over. We've got to keep working hard and we have Leeds United coming up next.
"Joel Porter took his goals well, including a penalty when we were under pressure, and Daniel Nardiello also took his goal well.
"Yeovil are a high-tempo side but we were on top for much of the game and deserved the win."