And the Barcelona striker expects his former club to continue going from strength to strength under Jürgen Klopp as they look to build on the foundations laid in 2016-17.
Thanks to their fourth-placed Premier League finish last term, the Reds have a chance to compete in Europe's premier cup competition for the first time since 2014 this season.
Speaking in LFCTV's latest episode of 'What LFC Means To Me', Suarez enthused about that prospect, saying: "Liverpool always have to be competing in the Champions League.
"I think the new manager, Klopp, needed a bit of time, because he came in during the previous season, but he's had a fantastic [first full] campaign.
"I think that things will go even better next season because he’s a quality coach and he has a lot of players who can make the difference.
"Absolutely, Liverpool is a club that should always be involved in the Champions League."
'What LFC Means To Me: Luis Suarez' is available to watch on demand on LFCTV GO now. Not yet a subscriber? Click here to find out more.