The England international goalkeeper, who kept a first clean-sheet of his season-long loan from Manchester City at the fourth attempt in Monday's 2-0 win against Huddersfield, is keen for the side to pick up another three points at the Hawthorns.
However, Hart knows that Tony Pulis' side will pose a real threat to them, especially as they will be looking to bounce back from last week's 3-1 defeat at Brighton which ended their unbeaten start to the season.
"It's not going to be one for the football purists," the 30-year-old told the Evening Standard. "It's going to be a tough game and we have to show that same passion to win it."
The Hammers have lost all three of their away games so far this season, while West Brom have picked up four points from two outings on home soil after following up a 1-0 win against Bournemouth with a 1-1 draw against Stoke.