Tendulkar, 37, had only recently recovered from a hamstring strain which forced him to miss three games of the recent five-match one-day series against South Africa.
He made 28 in India's opening World Cup match against Bangladesh in Dhaka on Saturday which the visitors went on to win by 87 runs.
"The MRI scan is clear. There is no problem," the Press Trust of India quoted sources at the hospital as saying.
The scan was done as a precautionary measure after the batsman complained of discomfort in the knee.
Tendulkar is slated to fly to Bangalore Monday evening to join the rest of the squad ahead of their Group B clash against England on February 27.
The opening batsman is the leading run-getter in both Test (14,692) and one-dayers (17,657).
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