The 24-year-old Uruguayan has been out of favour so far this season, but his late brace against the Magpies showcased the best of his qualities and he will get more chances, Klopp told Sky Sports.
"Definitely, a striker scores two goals and you can see he gets a smile on his face, and rightly so.
But for the team, it was super-important that they got something like that, you need these kinds of things to grow together," Klopp added.
Back-to-back single-goal defeats to Manchester City and Liverpool will leave Newcastle playing catch-up in the league, and manager Eddie Howe said it will be a challenge to pick his players up again.
The two we lost were lost by the narrowest of margins, and they were against the best two teams in the Premier League," he added.
Persons:
Juergen Klopp, Darwin Nunez, Liverpool, Klopp, Virgil van Dijk, Alexander Isak, Luis Diaz, Joe Gomez, Nunez, Eddie Howe, Howe, we've, Philip O'Connor, Toby Davis
Organizations:
Newcastle United, Magpies, Sky Sports, Liverpool, Reds, Manchester City, Newcastle, Premier League, Thomson
Locations:
NEWCASTLE, England, Uruguayan, Liverpool