Indeed, even after Juan Mata was sent off for Manchester United, the Midlands outfit refused to take more risks and remained reserved and cautious.
And that was picked up on by the pundit, who believes the red card didn't actually change all that much for Man United as a result.
Savage told the BBC: "You can see even with the man advantage, West Brom won't change how they play and what they do. They won't take any risks so not too much will change for United."
He later added: "As for West Brom, they've not changed since Mata went off. All they need to do is try and play a bit more expansively and see if they can get the win."
Of course, in the end, the Baggies did just that - Salomon Rondon netting once again to keep his personal run of form going.
But the issue is certainly one West Brom fans have become frustrated with over the course of the season.
On this occasion, you can argue West Brom did the right thing. They stayed patient, didn't force the issue and duly got their reward.
However they earned it, this was a famous win against Manchester United.