The Blues will face off against Porto as the Reds will meet Real Madrid in a repeat of the 2018 final.
Chelsea will be pleased to have avoided all of the big guns in the quarters to land the kindest possible draw in Porto.
But Tuchel declared after eliminating La Liga leaders Atletico Madrid this week that his side would fear no-one.
“I’m sure no one will want to play against us and there’s no need for us to be afraid,” he said after guiding Chelsea to this stage for the first time since 2014.
“Quarter-final means there’s only four games – it’s a big step and feels excellent.”
In the other quarter-finals, Manchester City will face Borussia Dortmund and holders Bayern Munich take on Paris Saint-Germain, with the winners of those ties meeting in the other semi.
The quarter-final first legs will be played across April 6 and7, with the second legs across April 13 and 14.
Champions League quarter-final draw
Man City vs Borussia Dortmund
Champions League semi-final draw
Bayern Munich/PSG vs Man City/Dortmund
Real Madrid/Liverpool vs Porto/Chelsea