West Brom's fate was decided on Saturday when, despite winning at Sunderland, Bolton's victory over West Ham saw to it that their Premiership stay will last for just one season.
Despite possibly looking an away-banker on the fixed odds coupons, the skipper was well aware that the ending of relegation uncertainty could well have had a galvanising effect on the home side.
"It was always going to be a tough game coming here - you never know how they will react," reflected Teddy.
"We all know that footballers have got a lot of pride, whether they have just won the championship, got relegated or playing for nothing.
"We always knew it would be a tough game because they still want to beat the likes of us.
"We put a couple of nice goals in there and fully deserved, I thought, to come out winners."
There is a school of thought that suggests when the complex mathematics of the drop-zone decrees no escape, the team in question is able to relax and perform to their capabilities free of tension. Teddy does not quite go along with this line of thinking.
"That has been mentioned but, having said that, they have been relegated and are down there for a reason. We're in a healthy position, as such, and should be beating teams like that. If you don't approach it in the right manner it doesn't happen like that.
"We did and came away with three points."
Teddy Sheringham reasoned that facing relegated sides presents the danger of the unexpected - and was delighted to exit the Hawthorns with three points.