The Reds now have a club record of five straight away victories in the competition.
Sadio Mane made it 2-0 before half-time thanks to an exceptional through ball from Trent Alexander-Arnold which allowed Luis Diaz to head into the path of Liverpool's Senegalese superstar for a simple finish.
Konate's sloppy attempt to clear an inviting cross allowed Nunez to finish easily past Alisson from close range.
A lovely through pass Naby Keita allowed Diaz to round Odysseas Vlachodimos and shoot into an empty net.
It could prove a significant goal as Benfica will now have to overturn a two-goal aggregate disadvantage at Anfield next Wednesday.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!