Steve Bruce admitted his job is in jeopardy after Sam Byram's lucky leveller gave Norwich an undeserved point.
Dara O'Shea's early header had put Albion on course for only their second Championship win of the season.
But fortune deserted Bruce and his players in the 68th minute when Teemu Pukki's shot went in off the unwitting Byram — and Albion appeals for handball failed to convince the officials.
Results elsewhere left Albion firmly part of the relegation equation going into an international break that often sees under-performing sides part with their managers.