The 35-year-old defender has missed the last five matches with a hamstring problem he sustained in the 5-1 win over Newcastle on February 13.
Terry took part in training two days later but then did not travel to Paris for the first leg of a last-16 European tie, which Chelsea lost 2-1.
The skipper missed the 15 minutes of Tuesday’s session which was accessible to the media and later took to Instagram to share his disappointment at being absent for the game.
“I’m gutted to be missing the PSG game,” Terry wrote.
“It’s so frustrating missing any game, but these big Champions League nights at the Bridge are unbelievable and it hurts as a player not to be involved.
“I have thrown everything at my injury trying to get back fit but sometimes you have to let the injury settle, and thankfully I’m on the mend and hope to be back soon.”
Striker Diego Costa was present after missing last Saturday’s draw with Stoke as a precaution due to a minor tendon problem. Kenedy (groin) and Pedro (hamstring) also took part.
Radamel Falcao, absent since October with a thigh problem, trained, but the striker is not in Chelsea’s Champions League squad.
The Blues are up against PSG for a third straight season in the competition. Chelsea won the quarter-final tie in 2014 on away goals, but were defeated at the last-16 stage by the same method last year.
Chelsea’s only defeat since the appointment of interim boss Guus Hiddink was at Parc des Princes in the first leg on February 15, but John Obi Mikel scored a vital away goal in that 2-1 loss.
The Blues drew in Paris last season before a 2-2 draw after extra time in the return fixture at Stamford Bridge saw PSG advance on away goals, which were scored by David Luiz and Thiago Silva, despite the first-half dismissal of Zlatan Ibrahimovic.
Twelve months earlier the late intervention of Demba Ba saw Chelsea advance to the semi-finals.