And Hill was quick to salute the manner in which his team had played as they also battled back from Wasps taking the lead in the second half to eventually pull clear.
"I had a good feeling about tonight and it was about time all parts of our game came together," he said.
"There was a real excitement in the team; despite the fact other teams were starting to catch us up.
"You could see the intention when we had penalties early on; James Percival agreed that we would go for scores rather than just three points.
"Chris Pennell scored a marvellous try out wide, we had a close range try from Blair Cowan and a little bit of magic from Andy Goode chipping over for David Lemi to score.
"We didn't quite get our drive going and had a number of opportunities five metres from their line and Wasps were very good at stopping our driving maul.
"In the past we have been guilty of having the set piece right and the defence and attack not working. Having one part of our game that wasn't functioning has been our downfall.
"But all three were pretty good tonight, not perfect but pretty good and you could see in the player's eyes before the game that they were determined to win that game.
"I was pleased that we showed the confidence to come back midway through the second half to win that."
Hill also refused to criticise Josh Drauniniu for a second half yellow card that he described as 'harsh' as the wing was sin binned for a deliberate knock on.
He added: "I am normally the first to criticise the players when they come off, but I think Josh was making a genuine effort to catch the ball there. He almost got the interception.
"In my view he went for it and had he intercepted it it would have been very interesting. I thought it was harsh."
Warriors now have a mini-break before they face London Irish in three weeks and Hill is keen for his team to now really kick on.
"The talk before the game was not about relegation - it was about hitting form," he said.
"We have been working so hard and we just felt tonight was the night we put it all together.
"We hear some clubs saying their players are tired and battered, but we have got a very fit squad, they are all fresh.
"We have the likes of Ravai Fatiaki coming back for London Irish, Chris Jones, Shaun Perry and Semisi Taulava will all be available.
"We have got people coming back, we are in good shape and this is the time to hit form. We are not thinking about tired bodies, we have managed people and we need to come good."