Salomon Rondon put the Baggies ahead after just four minutes at Wembley before Harry Kane scored his 40th goal of the year to salvage a point for Spurs.
In addition, the club's next two Premier League fixtures, against Newcastle United and Crystal Palace, are both at home, and Evans is optimistic that they can take advantage.
"It's a big week and there's a quick turnaround now ahead of the Newcastle game, but I think that will suit us," the Northern Irishman told reporters after the game.
"The players will take confidence going into these two home games. We will look forward to them and hopefully we will be able to get two positive results."