City looked to have won the match when Dave Clarkson gave them a 1-0 lead in the first minute of stoppage time but within seconds the vistors had equalised through Lloyd Dyer to earn a share-of-the-spoils from the game at Ashton gate on Tuesday night.
"I'm going back in there to have another word with the players because I don't want them leaving the ground dejected," Johnson said after the 1-1 draw.
"They gave everything and our supporters were magnificent in getting behind them.
"As the game went on, we looked the more likely winners, having had some luck earlier on.
"We'll have to look at the technical side of conceding another late goal. But the performance was one to build on against West Bromwich Albion on Sunday.
"We created chances in the second half and it's not often our fans applaud us off after a home draw."