A late equaliser from Mamoudou Karamoko was not enough to prevent Tottenham from securing qualification to the last 32 of the Europa League, as LASK crashed out of the competition.
The Austrian side dominated the game in the first half, and will feel aggrieved as Peter Michorl's effort (42') was cancelled out by a Gareth Bale penalty (45+2') on the stroke of half-time.
Spurs retook the lead after the break through Heung-Min Son (56') before Johannes Eggestein's net-busting strike (84') drew the sides level.
The visitors nudged ahead once again through their second penalty of the game - this time converted by Dele Alli (86'), which was replied to by Karamoko in the 93rd minute with a fantastic long-range curling effort to level the scores.
Story of the Match
Jose Mourinho was all smiles as the whistle blew in the Austrian town of Linz, but his smile didn't remain on his face for long as LASK came flying out of the blocks.
Peter Michorl and Rene Renner both had shots on goal, but the best chance of the opening 15 minutes came to on-loan striker Johannes Eggestein, who curled his effort towards the far corner, only to be thwarted by the post.
Spurs continued to be put under pressure, as Renner again got in behind Matt Doherty not long after and forced a tidy save from Joe Hart.
The English goalkeeper's luck would run out however, when in the 42nd minute, Michorl's long range effort swerved just enough in the air to fly past him and into the back of the net - giving LASK a narrow lead.
The Austrians got what they were dreaming of, an opening goal just before half-time, but despite their best efforts, Spurs found a way back into the game after Andres Andrade stopped Tanguy Ndombele's shot with his hand on the stroke of half-time.
Gareth Bale stepped up to take the penalty confidently, before slotting the home with ease to make it 1-1 with the last kick of the first 45 minutes.
The home side did match their impressive start to the first half after the break, and but for some impressive defending by Japhet Tanganga, they could have regained the lead through former Germany U21 international Eggestein.
However, it was Spurs who gained the advantage eleven minutes into the second half through Heung-Min Son after Ndombele robbed Mads Emil Madsen in the centre of the park before slotting through the rapid Korean forward to finish clinically into the bottom left corner.
Son could have doubled his tally just under ten minutes later when Bale raced through on goal before sliding the ball across for his teammate to tap into an empty net - but catastrophically putting the ball just behind him allowing LASK to recover.
Andrade then redeemed himself as the momentum completely shifted in Spurs' favour, as Son broke through on goal only to be stopped in his tracks by the Panama international who recovered brilliantly.
Werder Bremen outcast Eggestein then equalised against the run of play, out of nothing with just under ten minutes to go, when Davinson Sanchez stepped out of the defensive line, misjudging the ball and allowing the German striker to bear down on goal and lash the ball past Hart.
But just seconds later after the restart, Steven Bergwijn bailed the visitors out of jail when he drew a foul off Philipp Wiesinger - Dele Alli then converted the penalty with nerves of steel.
The goals did not stop flying there though, as Mamoudou Karamoko trapped the ball 25-yards-out before unleashing a magical curling effort into the top corner with just 90 seconds left to earn LASK a point - but they crash out of the tournament as Spurs progress through to the knockout rounds of the Europa League.
Man of the match - Peter Michorl
You would be a fool to give the man of the match award to a Spurs player, and Peter Michorl was one of the prime candidates out of many from the LASK side.
He deserves the title after his goal - which he could have potentially added to throughout the game, but his defensive work and passing was vital to LASK controlling the game for large periods of time.