The Baggies have conceded 24 goals in their last 10 Barclays Premier League match leaving them contemplating an immediate return to the English Championship.
The former Liverpool boss saw at first hand Albion's defensive frailties when they surrendered a three-goal lead against West Ham at the weekend.
Hodgson said: "I think if we are going to stay in the league we need to be good offensively and defensively.
"But, there is no doubt, if you are a team that concedes goals, whether at the top or bottom, you are going to find it very difficult to get the points.
"Sooner or later you can't be reliant on scoring three goals every game to get points.
"That is not what happens in the Premier League."