The two-time European champions from Portugal will be in the draw on Thursday while Dynamo will be in the Europa League.
Gilberto and Goncalo Ramos scored first-half goals for twice former European champions Benfica in the Polish city of Lodz.
Chalana, came through their academy before playing 27 times for his country, which included reaching the Euro 1984 semi-finals, losing to eventual winners France.
Champions League: Liverpool survive late collapse against Benfica at Anfield to keep quadruple hopes alive
Liverpool were on cruise control for long spells in the second leg at Anfield, but had to hold their nerve before advancing 6-4 on aggregate after an uncharacteristic meltdown in the closing stages.
Liverpool will be confident of finishing the job at Anfield next week, with Klopp comfortable enough to take off Mohamed Salah, Mane and Thiago Alcantara after an hour.
The last time Benfica made the semis, they went on to reach the final, in 1990, when a team coached by Sven-Goran Eriksson lost 1-0 to AC Milan and missed out on lifting their third European Cup.
Liverpool on paper have the better draw in the last eight as they take on Benfica, while City face a gruelling two legs against Spanish champions Atletico Madrid.
Having sent Barcelona packing in the group stage, Benfica will now appear in the last eight for the first time since 2016.
It was not enough for Erik ten Hag's side to win the game, as Ukraine international Roman Yaremchuk came off the bench in the second half to earn Benfica a deserved draw.
Ajax take on Benfica at the Estadio da Luz as they return to Lisbon, where Haller scored four times on his Champions League debut
Barcelona crashed out of the Champions League in the group stage for the first time in over 20 years with a 3-0 defeat at the hands of Bayern Munich on Wednesday
Xavi’s rescue mission encounters its first major test on Tuesday as Barcelona face Benfica in a game that could decide the scrap in Group E to qualify for the Champions League last 16.
The last time Barcelona failed to reach the knock-out stage of the Champions League was in 2003.
The 25-year-old, who won the 2018 World Cup with France, appeared in a Madrid court on Monday - a day earlier than planned - with a six-months prison sentence hanging over him.
After losing 3-0 to both Bayern Munich and Benfica, Barca sit bottom of Group E with two games against Kiev up next, the first at Camp Nou on Wednesday.
Club president Joan Laporta will hold a meeting on Thursday morning, according to reports in the Catalan press, in which it will be decided whether Koeman should remain in charge for Saturday’s crunch LaLiga game against Atletico Madrid.
Ronald Koeman's Barcelona side already look at real risk of an early exit from this season's Champions League after suffering a second 3-0 defeat in as many games in Group E and finishing the match in Lisbon with 10 men.
Here's all you need to know about the Matchday 2 of UEFA Champions League on Wednesday.
Benfica defender Lucas Verissimo was sent off in the 32nd minute and the two-time European champion held out with a veteran back-line pairing of captain Nicolas Otamendi and Jan Vertonghen.
Champions League: Benfica beat Spartak Moscow 2-0 in first leg of qualifiers to move closer to play-offs
Dynamo Zagreb conceded an 82nd minute equaliser at home to Legia Warsaw in a 1-1 draw to hand the initiative to the Poles in next week's return leg.