The Hammers won 2-1 at the Hawthorns and took more shots before half-time than they would during an average 90-minute match away from home, according to the West Ham United boss.
And Allardyce admits the attacking instinct his side showed at West Brom left him a very happy manager.
“Our strength in depth is what is paying off for us at the moment. We had to make changes to the team again, some by fatigue and some by injury, and we used the squad to its maximum. In the end we have pulled off another victory," the Hammers boss told reporters.
“We had seven shots on target and five off target by half-time - we generally don’t get that in a whole game away from home.
“I think [last month's loss at] Everton was 17 attempts with three on target - but this was seven attempts on goal by half-time, which shows we were in dominant mood.
“The second half was somewhat disappointing because we did not carry it on but I was still very happy with the victory."