Mohamed Salah and second-half substitute Roberto Firmino netted doubles, while Sadio Mane was also on the scoresheet in Portugal.
The result sees the Reds stay two points clear of Atletico Madrid at the top of Group B after two rounds of matches.
Read on for a transcript of Klopp's post-match press conference...
On what pleased him most about the performance…
That we had a tricky start because obviously Porto watched the Brentford game, started pretty direct. We struggled a little bit in the beginning but that's the reason why we didn't make a lot of changes, that's because I wanted that we find the feedback on the pitch and sort the situation there and that's what we did.