Jain has been lodged in prison since his arrest by the Enforcement Directorate in connection with a money laundering case in May.
A search is on for suitable accommodation for Arvind Kejriwal and his family, Singh had said.
The cabinet of the new government led by Rekha Gupta balances representation of all major communities that propelled the Bharatiya Janata Party to power in Delhi with a massive majority after over 26 years.
Rekha Gupta, a former DUSU president and a long-time member of the RSS, has been chosen as the Leader of the House in the Delhi Assembly and will become the fourth woman chief minister of Delhi. She won the Shalimar Bagh seat in the February 5 Assembly polls, defeating her AAP rival Bandana Kumari. Gupta, a BCom graduate and lawyer, has a long history of working for women's welfare, having served as the national secretary of the BJP's youth wing and the national vice-president of BJP Mahila Morcha. The BJP has returned to power in Delhi after over 26 years, ending the 10-year rule of the Arvind Kejriwal-led AAP.
Former Delhi chief minister Arvind Kejriwal on Friday vacated the 6, Flagstaff Road residence to move to his new address in the Lutyens' Zone.