Hiddink, who lifted the trophy with PSV Eindhoven in 1988, said: "I won it at the beginning of my career so it would be perfect to win it again now I'm going grey and at the end of my time.
"Realistically, this is the trophy the Chelsea players really want to win this year. The Champions League is the ultimate for the players and the coach. It's the one we all dream of.
"It was a very dramatic ending for everyone and I see from the reaction of all my players how much they love this competition, how much it means to them this time.
"We were in the middle of training when the quarter-final draw was made and all the players immediately stopped their exercises and asked 'who, who, who?'
"They were very keen to know who our quarter-final opponents were, which shows they care.
"I didn't sense any disappointment with the draw. Just enthusiasm. That's nice to see.
"When I first arrived at Chelsea in February, the only demand was we must play in the Champions League again next year, preferably by finishing in the top three.
"But once we have achieved that goal we can look to go beyond that. And if we're still in the Champions League in the last week of May, it will be the perfect scenario."
It was Chelsea's 2-0 defeat at Anfield last month which proved to be the final nail in Phil Scolari's brief reign as Blues boss. And Hiddink is determined to put the record straight before he leaves Stamford Bridge.
"But these games between two big powerhouses of football are never boring.
"We know each other so well, right down to the last detail. But both teams have players who love to play in an attacking way and that's a guarantee for big clashes."