Kilmarnock boss Derek McInnes told BBC Sportsound: "It wasn't straightforward. We've had a tough few days since the United game. The response was everything we needed. The supporters needed to see a team trying to win, playing without fear and getting after Hibs.
"Sometimes when you have to dig deep like that, 1-0 feels like even more. We just had to find a way to win.
"We dealt with the long balls and long throws well enough. It all became a bit desperate but thankfully we stood up to it. We're still a good bit short of what I think we can get to."