Janjetovic played a key role in the Sky Blues' 3-1 victory by saving Bridge's penalty when the side was a goal down.
After Richard Garcia was penalised for a clumsy tackle that floored Brendon Santalab and Youssouf Hersi, Janjetovic engaged in a psychological battle with Bridge.
"I just challenged him to put it to my left," jubilant Janjetovic said later.
"I went over to the left and I told him 'Bridgey put it on the left'.
"He took me up on that, I stood by and came up with the save.
"I think that the save lifted the boys who immediately put in five or 10 per cent more.
"I believe it may have shifted momentum in our favour."
Janjetovic, 26, has established himself as Sydney's No 1 goalkeeper.
He is one of only a few players in the team that has shown a semblance of consistency in a season that has had more ups and down than a rollercoaster.
Zagreb-born and Sydney-raised Janjetovic, who joined the Sky Blues at the start of last season, was famously dropped for a home match against Melbourne Victory for arriving late at the ground.
He took the demotion on the chin and did not allow that setback to affect his determination to make a fist of his A-League opportunity.
"I got stuck in traffic and I have learned from that," he said.
"I will not do that again, I won't miss the bus again."
Janjetovic said his job was made easier by the improvement of his back four, particularly the new central pairing of Sasa Ognenovski and Nikola Petkovic.
"I'm comfortable 100 per cent, not just with the two centre-halves but the whole back line," he said.
"We all know each other's game and how we want to play.
"We have not played together for a long period of time and maybe that's a factor.
"But every week you can see that we are understanding each other more and playing better as a unit."
Janjetovic said he hoped that the derby win would give the side the momentum it needed to secure a finals berth.
With five rounds to go the inconsistent Sky Blues find themselves in the top four.
"The A-League has been very tight this season," he explained.
"There is not much of a gap between the teams.
"You are on a bit of a roll and then you have a setback.
"You get injuries and suspensions but I don't want to make excuses.
"We do tend to drop off but in the next few games we have special motivation to keep going."
Janjetovic said he was more than happy with his performance so far and he credited the contribution of the club's backroom staff.
"First and foremost, I've got to thank my goalkeeping coach Zeljko Kalac, his assistant Davide Del Giovine and conditioning coach Anthony Crea for keeping my fitness levels at a peak running around Cecil lake," he said.
"Please mention this, it's important."