The Spireites took the lead midway through the first half through Jay O’Shea, and had two goals disallowed before the 45 minutes was out.
Ian Henderson equalised with a diving header in the second half, but two goals in two minutes late on from Lee Novak and Sylvan Ebanks-Blake took the game away from Dale.
Rhys Bennett ensured a nervy finish for the visitors, but Dale ran out of time to grab an equaliser.
“It was too open for me. I never felt comfortable,” said Hill as he reflected on the game.
“I thought we were very, very lucky to come in at half time 1-0 down just because of the way the game went in the first half. I thought they [Chesterfield] grew into the game after we started exceptionally well and I was relatively pleased to get to half-time only 1-0 down.
“They’ve had two disallowed goals and we’ve just looked at them, Danny [Wilson, Chesterfield Manager] has looked at them as well, and they are both correct decisions by the linesman/ referee.
“In the heat of the moment you don’t really know and we’ve come in at half time having conceded two extra goals, but the referee and the linesman have come to the right conclusion on both.
“But again, we give ourselves an opportunity in the second half. We got it back to 1-1 and I don’t think we should lose the game from that point.
“It’s small margins, it’s moments in games, it’s moments in seasons and moments in life that change the outcome of whatever even you’re taking part in.
“I think we should have defended their second and third goals better but I never felt comfortable against the opposition in that game.”
He continued: “It [conceding the third] gives us too much of a mountain to climb. The players’ heads could have gone but they didn’t, which I’m really pleased about, but it is a mountain to climb against the opposition.
“We had opportunities, though, to get something out of the game and that’s what’s encouraging from that point of view. We looked dangerous and we maybe should have made one or two better decisions in front of goal and obviously with the defensive mistakes.
“I feel as though we’ve been quite secure defensively and then today there was a bit of disruption because Callum Camps was ill and think he has done a lot of unsung work in the centre of the pitch supporting Lundy.”
The game went ahead, despite torrential rain overnight and in the morning. By kick-off the pitch was in a reasonably good condition, with no water on the surface.
“I’m really pleased with the pitch and the performance of the pitch, and it’ll be good for next week. The Groundstaff are working incredibly hard but the football club are also providing the tools to make sure we have a good working surface and it’s really good at this moment in time.”
The full interview is on Dale PlayerHD.