The rescheduling of the IPL amid political tension between India and Pakistan means the latter stages clash with England's series.
The IPL resumes on Saturday. The play-offs begin on May 29 and the final is on June 3.
Wicketkeeper Buttler will travel to India for the conclusion of the group stage before returning to England for the first ODI on May 29.
All-rounders Jacob Bethell and Will Jacks, who play for Royal Challengers Bengaluru and Mumbai Indians respectively, are expected to do the same, the BBC reported.
Jofra Archer and Jamie Overton, the two other IPL players in England's ODI squad, are not expected to return to India as their franchises cannot qualify for the play-offs.
England play West Indies in three ODIs before a three-match T20 series starts on June 6.
The Titans, who are top of the IPL with three matches left, need only one win to guarantee a play-off spot.
Sri Lanka batter Kusal Mendis appears set be signed by the Titans as Buttler's replacement. Their final group match is on 25 May.