The London club are into the semi-finals of Europe's premier club competition after beating Paris Saint-Germain 2-0 at Stamford Bridge on Tuesday night, getting through on away goals after the two-legged tie finished 3-3.
Terry captained Chelsea to the 2012 Champions League title under Roberto Di Matteo and is now determined to taste that success under Jose Mourinho who has won the championship twice before with FC Porto and Inter Milan.
"This competition means a lot to us," Terry told ITV.
"The manager's been very successful. We've experienced it once and the disappointments over the years as well.
"It keeps you fighting and keeps you believing and that one time winning it, believe me, it's the best feeling ever."
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