Spurs secured all three points at Wembley in Saturday's lunchtime kick-off courtesy of a second half Harry Kane header, but Arsenal substitute Lacazette spurned two glorious opportunities in the closing stages of the game which could have produced a different outcome for Arsene Wenger's side.
A tepid derby came to life in the 49th minute when Kane soared over Laurent Koscielny to meet Ben Davies' cross and sparked a second half of complete control by Tottenham at Wembley Stadium. "We contained them to very little", Wenger said after the game.
You can say we are not strong enough, but you look at the numbers and we don't score enough goals.
"Possession is 50/50 basically in this game", he said.
"After the last training session, I hope that he is still doing well and we can put him in contention".
Tottenham are now unbeaten in their last nine league matches and remain in a good position to qualify for the Champions League via a top-four finish.
"It's too early [to talk about the Europa League]".
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The upcoming European trips are a sign of the divergent direction these clubs are heading in.
Spurs now go to Juventus on Tuesday in their Champions League last 16 first leg, while Arsenal are in Sweden to face Ostersund in their Europa League round of 32 first-leg clash on Thursday evening.
Although not blessed with goal scoring ability, Dembele showed against Arsenal just how influential to Tottenham he is. Overall for me it's a very disappointing result, because the priority has to be to be in the Champions League through the Premier League.
Meanwhile, goalkeeper Petr Cech has overcome his pre-match fitness concerns to start between the sticks.
An equalizer rarely looked likely.
Wenger made an attacking change, bringing on Alexandre Lacazette for the ineffective Mkhitaryan and Alex Iwobi for Mohamed Elneny, but it was Jack Wilshere who almost equalised with a curling strike that Hugo Lloris clawed away from the top corner.
The England global nearly doubled the lead two minutes later but his header went inches wide of the upright.