Alonso secured his fourth podium of the 2023 season in last weekend's Miami Grand Prix after claiming a front-row starting spot, just losing out to an unstoppable Red Bull 1-2 led by Max Verstappen who won the race from ninth.
His fourth podium in five races prompted the Spaniard to start aiming even higher, even if Aston will need Red Bull misfortune to challenge for wins.
"I think at the beginning of the year a podium was amazing. Now after four podiums we want obviously more, and at least a second place," Alonso said.
"But the two Red Bulls are always unbreakable, and they are always super-fast. But maybe Monaco, maybe Barcelona we have a possibility."
Team boss Krack urged the team to stay realistic and says it will not take its current run of podiums for granted given the level of competition from Mercedes and Ferrari.
"Feet on the ground, you should never take a podium in F1 as normal or as a given," Krack replied when asked if podiums are starting to feel normal for the team that finished seventh in the 2022 championship.
"It's a lot of hard work involved to be on the podium and you have very, very strong competitors in Formula 1, very professional.
"And if we are not 100% in all areas at all times, then there is no podium."
Source: Autosport