Writing in "The Week" magazine on Thursday, Kumble said Tendulkar would come good with the bat and prove his critics wrong.
"I am confident he (Sachin Tendulkar) will succeed just like he has done over so many years," Kumble wrote.
"It's best to leave it to him to deal with what is in front of him now, because no one else has been in his position. No one else has played 192 Tests, made 34,000 runs, or scored 100 centuries. Let's not jump the gun, let's give the man the respect he deserves," Kumble, who played with Tendulkar for many years, added.
Kumble, who is now the President of Karnataka State Cricket Association (KSCA) praised Tendulkar for his commitment and hunger for the game.
"Sachin was the 187th Indian to play Test cricket. The last debutant for India was R. Vinay Kumar, No. 274. If I am right, nearly 60% of the 87 players who made their Test debut for India after Sachin have already retired from the game. That, to me, is the perfect illustration of the desire, hunger and commitment that have driven Sachin to turn out match after match, and perform more often than he has failed," he said.
In recent days, there is growing pressure over Tendulkar to retire from Tests after a string of low scores. He is without a century in the five-day format since January 2011.
With Australia's Ricky Ponting retiring on Thursday, calls for Tendulkar to follow the Aussie legend will grow louder.
At the moment, Tendulkar is gearing up to face England in the third Test in Kolkata from December 5.