Warne said Kumble, 38, deserved the chance to play in the last two Test matches, given that this could be his final series.
"Knowing what Anil is like, he's very, very competitive - he's a gentleman, but he's very, very competitive deep down - and I'm sure he'll fight back in this Test match and will be very dangerous," added Warne.
He went to the extent of saying, "I think this will probably be his last series, Anil Kumble, let him have this series and then Mishra has got 10 years of playing."
Kotla specialist Kumble 'fit' for Delhi Test
Warne further said, "Dhoni has got plenty of time to captain and Mishra has got plenty of time, so I''d be disappointed if Anil Kumble doesn''t play."
They''re 1-0 up, he''s the captain of the country, he''s a great man, he''s a good captain, said Warne.
According to the Fox Sports, India is in a dilemma - whether to recall the captain, who has 616 Test scalps, or stick with the young spinner Amit Mishra and Mahendra Dhoni as skipper.
Due to a shoulder injury, Kumble did not play the second Test in Mohali, where Dhoni"s attacking captaincy earned him the man of the match award in the 320-run victory, and Mishra took seven wickets on his debut.
Kumble is expected to be available to play at New Delhi''s Feroz Shah Kotla, where he has taken 55 wickets in six Tests previously. The ground staff too have reportedly prepared a pitch to suit him.