Jardim is adamant his team can compete for four trophies this season, and the manager's message is backed by the players.
"We've got a good team and we want to show the rest of Europe," Brazilian midfielder Fabinho said.
That is also Manchester City's aim.
"When we play like we did against Monaco, we come close to the great teams like Real Madrid, Barcelona and Bayern [Munich]," veteran City midfielder Yaya Toure said. "We cannot dream about anything yet because we still have a second leg to play. But if you ask the fans, they believe it."
Toure won the Champions League playing for Barcelona under Pep Guardiola, who is in his first season in charge of City.
He believes Guardiola is building "something big" at City.
"The fans feel it, everyone feels it," the 33-year-old Toure said. "We are getting a winning mentality in Europe."
Juventus vs Porto
Tomorrow, 8.45am NZ time
Juventus, the beaten finalist in 2015, leads Porto 2-0 from the first leg.
Juventus goalkeeper Gianluigi Buffon is up against Porto counterpart Iker Casillas for the 18th time. Casillas, who made his name with Real Madrid, will need to be at his best for Porto to stand a chance.
Buffon hopes Casillas has a great game - in a losing cause.
"It will end with Juventus going through" Buffon said. "Casillas will be the best on the pitch, and I'll have a good performance."
Buffon, however, will need to keep a close watch on Soares.
The Brazilian striker has been in prolific form since signing from Vitoria de Guimaraes in January, scoring nine goals in six Portuguese league games.
Atletico Madrid vs. Bayer Leverkusen
Thursday, 8.45am NZ time
Atletico faces Bayer Leverkusen with a 4-2 lead.
Antoine Griezmann is back among the goal scorers at the right time for Atletico.
The livewire forward has four goals in three games and 12 in 17 since the start of the year.
That is three more than he managed in the first half of the season, when he struggled to replicate his form as the European Championship's top scorer with France.
Leverkusen's difficult task is made tougher by Atletico's impressive home record in European competitions, which includes just two losses in its last 33 matches at the Vicente Calderon.
Leverkusen showed little in Tayfun Korkut's first game in charge on Friday to suggest it can produce something special this week.
The Bundesliga club displayed the same lack of conviction in a 1-1 draw against Werder Bremen.
Leicester vs Sevilla
Tomorrow, 8.45am NZ time
Had it not been for the Champions League run, this season would have been a complete fiasco at Leicester.
Even a narrow 2-1 loss in the first leg against Sevilla wasn't enough to save the job of the man who delivered last season's astonishing Premier League title triumph: Claudio Ranieri.
The Italian manager has been replaced by his former assistant, Craig Shakespeare, until the end of the season.
Although staying in the Premier League is Shakespeare's absolute priority, a place in the quarter-finals of the European competition will give his squad a confidence boost.
Leicester defender Christian Fuchs is confident the difficult season has brought the players closer together, especially after Shakespeare organised a recent bonding trip to Dubai.
"Trips like this are very, very important," Fuchs said. "We've been through a lot of highs and lows."
Leicester would reach new heights by reaching the quarter-finals. Sevilla is aiming to make the last eight for the first time since 1958.
