However, Hill was keen to praise the defensive resolve of his team as they held out under severe first half pressure before pulling away in the second half.
"At half time we were 20-3 up which was a massive improvement on the last time we were here in January when it was 20-20 and we had gone behind. We were happy going in at half time although Bristol had the majority of the ball," said Hill.
"They can keep it really well for phase after phase, and the key feature of the first half for me was the fact we defended really well. Bristol had 70 per cent of the possession but our discipline in defence was excellent.
"We held the line and they didn't penetrate us, apart from one missed tackle and one line break. We were good in defence and we took our chances which were few or far between. I'm not sure if the score line reflected the game - I think it flattered us a bit at half time.
"The second half got very interesting. Bristol scored an early try to get them back into the game and then for some reason we had a few bust-ups and the referee gave out five cards. I can't remember seeing a game where there have been five players off the field at any one time.
"You go in with a replacement plan and a yellow card strategy... but that is for one yellow card. It is very difficult to know what to do when you get more than one.
"The players had to think on the hoof in the second half, but it probably disrupted Bristol more losing three players more than it did us.
"I have said all along Bristol are the most physical team, apart from Worcester, in this Championship," added Hill.
"Coming to Bristol's ground, for me, would have been the most physical challenge and judging by the lads in the dressing room it was a very hard fought and physical game."
Hill also praised Wing Benjamin as he grabbed his second hat-trick of the season to move to 17 tries in 22 games.
"Our wingers were on fire," he said. "Miles had been a little overshadowed by Marcel in recent matches and he has obviously decided to put that straight.
"Miles today finished exceptionally well. One of our key strengths is to have Marcel and Miles at their best, real pace and strength to finish off tries."