However, the West Ham icon has warned that the east London side cannot get complacent against the Midlands outfit.
Cottee's old side were convincingly beaten 4-1 by Tottenham at White Hart Lane last weekend, while West Brom beat Arsenal 2-1 at the Hawthorns.
Cottee told London 24: "I think all the teams in the Premier League this season have strengthened, including West Brom, who had a great result against Arsenal last weekend. You can’t go around saying that ‘it is West Brom this weekend, we will win that’, it doesn’t work that way.
"You have to work hard for any win in this league. We need to bounce back after the Spurs loss and I think we are capable of doing that so I am going for a 2-0 win."
Cottee's stern warnings - followed by predicting a West Ham win - sound like wishful thinking but the Hammers will at least have home advantage (they have drawn with Everton and beaten Chelsea during their last two Upton Park fixtures).
Both West Ham and West Brom have become a little unpredictable of late. The Baggies have lost games where their performances haven't deserved a defeat but beat Arsenal at the weekend with Tony Pulis admitting his side could have played far better.
Slaven Bilic's men, meanwhile, are still capable of beating the best but have started to deliver the odd disheartening display. Their performances at both Watford and Tottenham will come as a concern to the West Ham boss.