Shane Watson is an important member of the CSK team which has been left depleted after the pull out of senior players Suresh Raina and Harbhajan Singh.
The results are a major relief to the CSK franchise, which was hit by 13 positive cases last week.
Multiple members of Chennai Super Kings had tested positive for COVID-19 last month.
Both players - one international and one uncapped - are from Chennai Super Kings. The BCCI did not reveal any names.
When will he join the CSK squad?
Chennai Super Kings posted pictures of MS Dhoni and other players arriving in Chennai on Twitter.
The IPL 2020 has been shifted to the UAE because of the coronavirus pandemic and will be held in three venues -- Dubai, Abu Dhabi and Sharjah.
Mitchell Santner, the New Zealand spinner, will play for Barbados Tridents in the Caribbean Premier League before travelling to the United Arab Emirates for the IPL.
This would have perhaps been the last year with CSK's 'Dad's Army' with a lot of players like Raina, Harbhajan, Watson unlikely to feature in yellow jersey next year.