The Lions visit Wembley next Saturday for their FA Cup semi-final against Wigan where they will not want to repeat a few early wobbles they showed today.
Birmingham went ahead in the 49th minute through on-loan striker Wes Thomas before the persistent Chris Taylor to claim a vital equaliser 20 minutes later.
Jackett said: "To come back from going a goal behind and get a point was satisfying.
"Generally, if I look at the game again a draw was a fair result."
He added: "Since the quarter-final game it has been danger signals for me as manager because with everyone winning at the bottom we could still be sucked into a relegation battle because we are focused on Wembley.
"It is in our own hands. We have games in hand. With five of the seven at home we have to take full advantage of this situation although I know our home form has not been great this season.
"Since the quarter finals we have played four games. Three have been away and we have won two and drawn two. So it has been a good response from the players."
Birmingham boss Lee Clark was again full of praise for his youthful side which has seen the midlands club move out of the relegation area in recent weeks.
He said: "They are doing really great and we are proud of them but we have got to be more ruthless and more professional. At times you could see we were young and naive. Their power and physicality brushed us aside at times."
- Sports & Recreation