Rabada was cleared to resume cricket on Monday by the SA Institute For Drug-Free Sport (SAIDS).
"With Kagiso, as far as tomorrow's match is concerned, the fact is he is now available given all the decisions that have been taken and whatever has transpired over the past month or so," Solanki told reporters ahead of Tuesday's match against Mumbai Indians.
"He will take his lessons from this and we're just looking forward to having him back part of our group, having him back in practice. He's served his time."
SAIDS said Rabada tested positive during South Africa's domestic Twenty20 league in January. On Saturday he admitted failing a drug test.
Rabada, second in the world test bowling rankings, will also be available for the World Test Championship final against Australia at Lord's from June 11-15.
--Reuters--