Allardyce was without seven first-team players and only able to name six substitutes at the Hawthorns but he was full of praise for the way his side fought to claim a share of the spoils.
"You could probably say it's seven injuries because we haven't seen Alou Diarra since he joined us because he tore a thigh muscle," Allardyce said. "That, on top of the other six, made it very difficult for us to come here. That's why we only had six subs on the bench."
He went on: "The only two really recognised players who played any part, we put on at the end, Modibo Maiga and James Tomkins. The rest of the lads are development squad players.
"But we've earned our point today. You know when you've got that many injuries, you're always worried as a manager because you wonder whether you're team's going to be able or capable of holding out.
When asked if the shortage of players meant he needs reinforcements in January, Allardyce said: "If we get them all fit, no. But we always need a bit of help as a manager. We're never going to turn one down are we? Or two! You've always got to try. If there's anybody there who can enhance or better the team, then we would like to go for them.
Baggies boss Steve Clarke saw his side end a run of three successive defeats and admitted: "I thought a draw was just about the right result. We didn't quite do enough to get the three points.
"As the home team, the onus is on us to try and win it. We tried to win it but nothing really fell for us."
"We spoke before the game about defending well, to aim for the clean sheet, which we got, which is good, because we haven't had one for a while.
"That is one positive aspect. It does stop the run of defeats which is another positive aspect and it's another point towards the totals we are trying to achieve."
- Sports & Recreation