The Blues qualified for the showpiece event, where they will face Portuguese side Benfica, courtesy of a 5-2 aggregate win over FC Basel on Thursday night.
However, jubilant Chelsea fans planning a party in the Dutch capital were immediately forced to sober up with the realisation that the club have been allocated only a small number of tickets.
The Amsterdam Arena holds 52,342 supporters, meaning Chelsea have been given only 19 per cent of the tickets for the match on May 15.
Chelsea supporters will be asked to pay between £39 and £117 for the right to attend the game, but with an estimated 24,000 season-ticket holders fighting over the available tickets, demand is likely to be high.
UEFA reserves a large number of tickets for its 'UEFA family', commercial partners and neutral supporters - and Chelsea's meagre allocation drew criticism from fans of all persuasions.
West Ham fan Ross Gooding wrote on Twitter: "Chelsea are only getting 9,800 tickets for the final when the stadium holds 52,000 Football is becoming a joke with all this corporate stuff"
Jez Hayes, a Manchester United fan, tweeted: "Chelsea given less than 10,000 tickets for the final. Uefa are ruining football. Its an absolute disgrace."
Chelsea fan Oliver Todd said: "As expected, but to reiterate, European final ticket allocation is ridiculous. 9,800 to #CFC, same for Benfica in a 52,000 seater stadium."
Resale sites are already selling tickets for the final at prices ranging from £240 to £2,400 for the most expensive seats in Amsterdam.
Meanwhile, Chelsea's win over Basel on Thursday night was quickly followed by a hike in air fares to Amsterdam, with a return trip with one budget operator now costing in the region of £500 for a 209-mile journey that has a flight time of just half an hour.
The same airline is charging just £84 return for flights on dates either side of the match.