They are now tied with Napoli at the top of Group C on six points after four games, with matches against the Italian side and Paris Saint-Germain (PSG) to come.
Jokanovic said Jürgen Klopp's team have "important weapons" but having witnessed Red Star Belgrade overcome Liverpool in midweek, he feels his team can do the same if they show the same level of desire and dedication.
"The season so far, points-wise, the Premier League season, is really successful".
"We have really to admit for ourselves that a lot of things are better than past year".
Liverpool were the second-highest scorers in the top-flight in 2017-18 with 84 goals behind City's 106, and Klopp said that the comparison to last season may be contributing to dampened spirits at Anfield.
"It was more a general meeting about our situation and what we expect from ourselves", he said.
"On Tuesday (it) was a massive knock that wasn't expected". I would love to say Hendo would have changed the whole game [against Red Star] but I'm not really sure about it. We were in the Champions League final a year ago and that's the last impression, with all the spectacular games and whatever.
Despite eight wins and three draws in their opening 11 top-flight matches, Liverpool only sit third in the standings as defending champions Manchester City and Chelsea have emulated the Reds' unbeaten start.
It was nearly a flawless evening for Red Star - who became the first Serbian team to win a Champions League group-stage game - but Filip Stojkovic was visibly frustrated as he was carted off the field with an injury in the second half. "But we have to enjoy our football as well, because it was so far pretty successful".
"Their football is good, things are good, they cause Manchester City problems in the Carabao Cup - it was good football". "That [his first-half display against Red Star Belgrade] was probably the worst I've ever seen him play".
"You will never score a goal against a team like Fulham if you go to win the game with the wrong attitude, and think about scoring, scoring, scoring".