A goal in each half from Lesley Ugochukwu and Loum Tchaouna earned Burnley the points on Saturday.
Walker told the club's website: “We knew the importance of this game coming into it. I thought the first six, seven fixtures that we've had have being difficult ones, but I think we've handled it well.
"We've taken a lot of lessons and a lot of learning curves from it. And then we put that in today, a clean sheet first and foremost and two goals which we’re crackers to be fair.
“We’re not going to hide from it; it’s a six pointer especially at home. We need to make sure that these games we take the three points at the very least. I think to come out with a clean sheet and a good performance, that’s full credit to the lads.
"We’ve worked hard over the international break; the manager put his stamp on where he thought we could hurt them. I thought that we played an effective game today, so we look forward to next week, hopefully we can go and get the same result, and we say it’s a good end to the month.”