The Serie A champions are expected to announce Sarris arrival in the next couple of days after agreeing a compensation package with Chelsea worth around £5million.
Chelsea have been linked with a host of names to succeed Sarri, though Blues legend and current Derby County boss Lampard is the clear favourite for the job.
And despite only having one season of management under his belt – in which he lost the play-off final against Aston Villa – Drogba says Lampard is a strong candidate.
I think it is a very good option for the club, the Ivory Coast legend told reporters as he prepares to play in Soccer Aid. He has done well with Derby, taking the team to the play-off final.
Probed whether one season is enough experience, Drogba continued: So he is never going to be ready, then? Does he have to wait until he is 50 to be ready?
I think it depends on your experience and depends on your desire to succeed and do it. If he feels ready I dont think it is too early.