Vengsarkar said though Kumble has rendered a yeoman service to the Indian cricket team his poor form suggested he should quit.
"Kumble has not been performing since the last six to seven Tests. He has been a great servant for the country for the last 18 years but he has not done anything of note in the last few matches, his time is up now," Vengsarkar told a news channel.
"Kumble looked completely off-color in the match and I don't see him captaining the side after the Nagpur Test," he added.
Vengsarkar felt that Kumble did not handle fellow leggie Amit Mishra properly in the third Test match.
"Mishra was bowling quite well and was getting good zip but still Jumbo underbowled him," Vengsarkar said.