Published: 2021-05-03 14:12:03 BdST
The cricket website said the players tested positive after one of them had left the tournament's bio-secure bubble for a shoulder scan.
Officials of the organising Indian cricket board (BCCI) and the Kolkata franchise were not immediately available to confirm when Reuters contacted them.
A senior BCCI official told Reuters last week that the league would continue as planned, saying the Twenty20 tournament helped lift the COVID-19 gloom in the country.
India on Monday reported more than 300,000 new coronavirus cases for a 12th straight day.