"I don't get star-struck or awe-struck," Mowbray told the Birmingham Mail.
"I keep saying that I want us to be recognised for the achievements we've had and we deserve to be in the Premier League.
"It is important that we change the perception and show that that's not the case, that we have got every chance of winning the games we're going into and it isn't a question of just going and enjoying the day.
"We have to earn that right with performances on the pitch and if that doesn't happen this year we will get portrayed as a little club just enjoying their season in the Premiership but getting back to reality next year.
"From my perspective we've got to make sure that in every single minute of every game the supporters, the players and everyone else involved with the club have to make sure that they aren't just 'little old Albion' enjoying the season.
"We are under no illusions. It's a difficult game for us but we won't show any fear.
"We go into it as positive as we can and you never know, sometimes on the opening day of the season you get strange results. We need to be ready and I'm sure we will be."