Media reports have said that players such as Sachin Tendulkar, skipper M S Dhoni, Virender Sehwag, Harbhajan Singh, Zaheer Khan and Gautam Gambhir may be rested.
Senior players have already written to the the BCCI to allow them to skip the West Indies tour, involving three Tests and five ODIs and a one-off Twenty20 game.
The players have been playing continuously for the two- and-a-half-months.
There was just six days gap between the World Cup and the IPL and immediately after the conclusion of the Twenty20 league on May 28, the West Indies tour is scheduled to start on June 4.
Players are keen to take rest but the ICC CEO Haroon Lorgat said it won''t be good for the West Indies.
"I think it affects the brand of cricket. Everybody want to see full strength side. Same applies to the IPL and any of the FTP commitments. Because of the volume of cricket, every individual player has to be managed.
"One or two stars, asking for a rest is okay. If five or six stars do not want to go to West Indies, then I think, it''s not appropriate fulfillment of what has been committed to the FTP," Lorgat said in a NDTV show.