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.
"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."
The major talking point occurred in the 20th minute when Richard Chaplow turned a Chris Taylor effort into the net.
It appeared the goal had been allowed only for the linesman to flag for offside. Referee Keith Hill seemingly over-ruled the decision but changed his mind again, much to the relief of Birmingham.
However, Jackett thought the referee made the correct decision.
He said: "The officials made four different decisions in about 30 seconds but I do think they made the right decision in the end. It was an offside goal. That is the bottom line."