KKR play Glenn Maxwell captained Kings XI Punjab on April 13 here before taking on Gujarat Lions (April 7) and Mumbai Indians (April 9) away.
There were reports that Umesh might skip the first phase of the cash-rich league after a marathon Test season with India.
Mysore on Saturday tweeted that "Hearty congrats @y_umesh. Exceptional perf 4 #TeamIndia. Enjoy the well deserved break. C u in Kol fresh & recharged on April 10! @KKRiders."
Pressed further on if he would be available for selection for the April 13 game, Mysore told IANS: "Yes. He will be available for selection."
Umesh took 17 wickets in four Tests against Australia. India won the four-Test series 2-1.