The 37-year old batsman underwent an MRI scan on Sunday night at Mumbai's Lilavati Hospital after he felt pain in his left knee.
“It's an old injury. It was just a niggle. It's nothing to worry about. The (MRI) report is all clear,” Indian team manager Ranjib Biswal said.
Tendulkar will join the rest of the Indian squad in Bangalore on Monday.
Three more one-day hundreds in the World Cup would make him the only batsman to total 100 centuries in both Tests and ODIs.
Tendulkar became the most capped one-day player in cricket during Saturday's win over Bangladesh with his 445th appearance. A mix-up with match-winner Virender Sehwag lost him the chance to join the run feast on a placid track against a weak attack.