"The BCCI will do everything to ensure that you reach your respective destinations seamlessely. The BCCI is monitoring the situation very closely and is working with the government authorities to make arrangements to get you home once the tournament concludes.
"Be rest assured that the tournament is not over for BCCI till each one of you has reached your home, safe and sound," he added.
For the past few days, India has been recording over 3 lakh daily cases, and the health system is struggling to keep up, with a lack of oxygen and some critical medicines worsening the problem.
Due to a "major" increase in COVID-19 incidents, Australia has temporarily halted all direct passenger flights from India until May 15.
In the wake of the situation here, Kolkata Knight Riders coach David Hussey admitted that Australians in the IPL are "a little nervous" about returning home.
Amin praised the players for their perseverance.
"As some of you have said, 'if we can help distract people from all the troubles of recent times, even if it is for a short while, we have done a great job'. When you all walk out onto the field, you are bringing hope to millions of people who have tuned in.
The teams will also no longer be able to order food from outside, according to the message.
"...earlier in the tournament, we had permitted food deliveries from outside your designated hotels, but these privileges have also been withdrawn. Apart from this, we have also increased our level of caution to strengthen our bio-bubbles," it said.
"I am sure you will understand and co-operate with us on these steps taken to strengthen the bubble.”
Several England and New Zealand players are playing in the event as well, but have yet to express their concerns. The IPL final will take place in Ahmedabad on May 30.
Up to 14 Australian players, including Steve Smith (DC), David Warner (SunRisers Hyderabad), and Pat Cummins (Kolkata Knight Riders), as well as coaches Ricky Ponting (DC) and Simon Katich(RCB), are still in the competition .