Dortmund boss Thomas Tuchel had been aggrieved by the decision to reschedule his side's home first-leg meeting with Monaco just 24 hours after three bombs exploded near their team bus last Tuesday, leaving defender Marc Bartra with a fractured wrist.
"We have won nothing, but we have made history", declared Portuguese coach Jardim after the game, as his side extended a run that began in the third qualifying round against Fenerbahce last July, nine months ago.
'I hope that Mbappe continues with us for a long time and gives us many great nights of football. We have to keep going along the same lines and look at what didn't work so well today; I think that at some points we were too passive, we sat too deep. "We know it will be very tough, but we have the energy and confidence we need to get a result".
Monaco starlet Kylian Mbappe continued his meteoric ascent to the top of European football on Wednesday evening with another crucial Champions League goal against Borussia Dortmund.
A normally loose Monaco side defended stoutly before wrapping up the tie for good when Valere Germain scored in the 81st minute, just 22 seconds after coming off the bench to replace the impressive Mbappe. "My team is used to playing a certain way and that will not change".
Monaco doubled their lead in the 17th minute as Thomas Lemar picked out Radamel Falcao, who headed into the bottom corner from close range.
Benjamin Mendy's long-range effort had plenty of swerve but was poorly parried by Burki and Mbappe was typically quick to coolly slot home the rebound.
That five-goal thriller swung from end-to-end and Jardim says he will not be sacrificing Monaco's attacking potential for a more defensive shape, even though a semi-final spot is within their grasp.
Monaco's other two potential opponents are Atletico Madrid - which lost last year's final to Real - and 2015 runner-up Juventus.
Both sets of fans united in a touching show of support beforehand, singing the famed football anthem "You'll Never Walk Alone" as they raised scarves together.
Consequently, Wager 365 are giving chances of 1/1 for Monaco to win against Dortmund on Wednesday.
He said: "We started well with one or two risky moves where we found some space and then conceded an unlucky goal".
Falcao lofted a shot narrowly over after breaking down the right in the 65th and Mbappe had a low shot saved moments later from a similar position.