After the rise of Covid-19 situation in India, BCCI postponed the current IPL indefinitely in India and also currently Indian Team is travelling to England for World Test Championship and a five Match Test Series against England .Once the Test match series is finished, Team India will likely to travel to UAE for IPL 2021 .
According to sources, BCCI will conduct the remaining IPL in UAE at September 15 and likely to finish in October 15. If the situation in India gets normal , there are chances of conducting the world cup here , if India is not the hosting nation for next T20 world Cup, BCCI will host the T20 world cup on the backup venue in UAE . So, conducting IPL in UAE is the only chance for BCCI to finish the remaining matches as a precursor of T20 World cup.
Also, BCCI is reportedly looking to have the England Test series start early (in the final week of July) and reduce the gap between matches to open up a bigger window in September for the remaining 31 matches of IPL 2021..
If BCCI planned to conduct the matches between September 15- October 15, the remaining 29 matches can be easily fixed in this window with multiple double headers . Lets wait for the official announcement from BCCI.