Ante Rebic, Luka Modric and Ivan Rakitic were on the scoresheet as Croatia moved into the last 16 for the first time since 1998, when Golden Boot winner Davor Suker inspired a run to third place.
But Lovren feels the current outfit are a better team, and the Liverpool defender hopes they can better the run of 20 years ago.
"We can do better than the 1998 team, but let's see," he told reporters.
"I think we have better players than that team."
Croatia only need a point against Iceland Tuesday to seal top spot in the group, a result which would see them likely avoid France in the last 16.
Despite several powerhouses struggling early at the showpiece event, Lovren said his team were still outsiders.
"How we played today will give us a boost for the next couple of games and hopefully we can just stay fit for the rest of the tournament."