The Black Cats booked their place in the quarter-finals after a 2-1 victory over Southampton at the Stadium of Light last night.
Sunderland are now set for a date with Chelsea on Wearside.
Poyet said: "I suppose that's good news, yes?
"Look, they are the games I need to enjoy. In quarter-finals, you can't ask for any small team, you know you are going to get one of the big ones.
"It's going to be special for me - an official game against Chelsea is always very special - so I am looking forward to seeing Jose and company.
"Of course, it's a cup competition, you need to win. Everybody knows a quarter-final is something we haven't achieved for many, many years, which is great for the football club.
"We are playing Chelsea, which is going to be special here at home."