However, Dale dramatically drew level in injury time as substitute Steve Davies swept home from 12 yards to guarantee a replay at Wembley Stadium.
"It was an amazing game and an amazing event for us," Hill told BBC Sport after the game. "We took the opposition on and we know how good they are.
"It was sacrificial behaviour at times and going 1-0 up we almost lit the bomb and knew what would come. Heads could have gone down at 2-1 but they didn't. We got what we felt was a deserved equaliser.
"We'll see the replay as an opportunity I think the opposition will see it as a headache. It's all on their terms now but we'll go to Wembley and have a go."
Rochdale return to League One action on Wednesday night with a home match against MK Dons.