Ivory Coast international Drogba has missed the Blues' last two matches because of a virus but has now resumed full training ahead of the visit of Mick McCarthy's side, third bottom of the Premier League.
Lampard, though, is expected to need more recovery time following his hernia operation which has seen the 32-year-old out of action since August 28.
Assistant first-team coach Paul Clement confirmed: "The players who played in Moscow [on Tuesday] were given the day off. The substitutes and players recovering from injury or illness, like Didier Drogba, came in the afternoon and we had a good session with them. Didier looks good and he trained well."
Lampard, however, needs more rehabilitation time before he can be considered by Carlo Ancelotti.
Speaking to Chelsea TV, Clement continued: "Frank is progressing really well.
"He had a terrific session earlier in the week with [assistant fitness coach] Chris Jones doing some individual work, he's really pushing himself.
"Frank is very frustrated and can't wait to get back.
"We have missed him and we look forward to him returning."
Centre-back Alex also will not yet return to the first-team fold as he recovers from a thigh problem.
Fellow Brazilian Ramires missed the midweek Champions League victory over Spartak Moscow because of an ankle injury, but should be back in contention this weekend.
Striker Salomon Kalou played his first game since sustaining a thigh strain in the Carling Cup defeat against Newcastle last month and produced an impressive display at Luzhniki Stadium, the venue of Chelsea's heartbreaking Champions League final penalty shoot-out defeat to Manchester United.
Blues captain John Terry paid tribute to the support of the travelling fans in Moscow.
The England defender hopes another victory over the Russians at Stamford Bridge next month would enable Ancelotti to give some of his players a welcome breather.
"The support we get up and down the country is brilliant and it is especially so when you come to places like Russia. It is tiring enough for us players, but when the fans have to get up and go in to do a nine-to-five job it is great and we want to show our support to them as they do to us," the centre-back said.
Terry added: "It would be very good to qualify early with the games coming thick and fast in the Premier League.
"With not only us, but other sides picking up injuries it will be nice if we can get the job done early on and maybe we can then rest a few players."
Branislav Ivanovic has enjoyed the experience of playing alongside Terry in something of a makeshift Chelsea backline.
"To play with John is a great experience for every player," said the Serbia international, whose usual position is on the right. "He gives to every player great confidence and I just try with him to give my best on the pitch."