Boro led twice at Birmingham on Friday night, but ultimately returned from the midlands empty-handed after conceding three times.
Mowbray said: "Let's not criticise anybody, it is what it is and the team have been great this season.
"With performances like we have had in the last couple of away games, we will win more than we lose.
"But we are here to try to get out of this league and win football matches.
"We have to understand the urgency of it, and we can't lose three goals of that nature."