Umesh has played 48 Tests in a stop-start career and is part of arguably India's best-ever pace attack, which also includes Ishant Sharma, Mohammad Shami and Jasprit Bumrah.
The 33-year-old Yadav, who started his IPL career with the Delhi franchise, returned to the side after being acquired for his base price of Rs 1 crore in the auction in February.
Gambhir said Ishant Sharma, Jasprit Bumrah, and Mohammed Siraj should feature if India opt to play three seamers in the game.
The four-match series is currently locked 1-1 after England won the opener and India came back to clinch the second game in Chennai.
The anticipation was around senior pacer Mohammed Shami's fitness and it has been learnt that he is still not 100 percent fit for the rigours of five-day games.
India pacer Umesh Yadav and his wife, Tanya, have been blessed with a baby girl, the cricketer announced on Friday.
Natarajan had started off as a net bowler during the series and then subsequently made it to the T20 and ODI squads.
His exit comes after Mohammed Shami was ruled out following a fracture to his bowling arm in the first Test in Adelaide and had to return home ahead of the second Test at the Melbourne Cricket Ground.
Yadav, who had earlier missed the third Test due to a calf muscle tear, is heading home for rehabilitation after being ruled out of the fourth andfinal Test in Brisbane as well.
While an official confirmation is awaited, Umesh's injury leaves India thinner on pace resources. They are already without Ishant Sharma, Bhuvaneshwar Kumar and Mohammed Shami.
Umesh, 33, was in the middle of a fine spell when he experienced pain in his left leg and called for immediate medical attention.
The right-arm pace bowler, who removed Burns in just his second over, limped off the field after bowling the third delivery of his fourth over of Australia's innings.
Australia clawed within 66 runs of a weakened India but lost two wickets in the middle session as Steve Smith and Matthew Wade fought to keep them in the second Test on day three Monday.
It would not be wrong to say that the team has concerns across all departments and they need to get their act together when they face Mumbai Indians.
This year's IPL has been a standout one for Yadav, who got 20 wickets from 14 games and worked up scorching pace in some of his spells.