Allardyce said: "It was a fantastic victory for us, a really pleasing one for us all and one I think in the end, we deserved.
"It's our first back-to-back wins. We finished 10th in the Premier League last year and only won three games away from home.
"We have already won two now - we have won at Blackpool and we have won here - it's our first back-to-back wins of the season, which is far quicker than we did last season, so it shows we are progressing."