Chasing two sub-300 targets -- 208 at Capetown and 287 at Centurion -- India's much-vaunted line-up crumbled against South African pace attack to concede a 0-2 lead in the three- match series.
Kohli dropped Bhuvneshwar Kumar for the second Test despite a good show from the paceman at Cape Town and has not included Ajinkya Rahane in the playing XI so far.
"Everybody wants to improve. Let's support the team in this hour. We have not played as well as we would have expected. Maybe next time. This is a great learning curve. Hopefully we will bounce back strongly. They need to back each other," Harbhajan told PTI after his arrival here for Syed Mushtaq Ali Trophy Twenty20 tournament.
"I don't want to compare. They played in different era. Everytime we toured we had the best chance of winning. I don't want to compare teams of different era. Kohli with Dhoni or the former players like Rahul Dravid, VVS and Sachin.
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"Captaincy comes with a lot of responsibility. He has done really well so far. This was his first real overseas challenge. I don't call Sri Lanka a real overseas challenge with similar conditions (like India)."
"Kohli has been setting very high standards. I'm very happy to see him at the top of this game."
The 37-year-old who has been released by his IPL side Mumbai Indians is here to lead Punjab in the final-leg of the domestic Twenty20 tournament.
"We have done really well in Delhi," he said about their North Zone campaign where they won three matches including a two-run humdinger against table toppers Delhi.
"It's always good to see a lot of young and exciting talents coming up. It's good to compete with them. We have played well in Delhi. We have been bowling fine. Like any other cricketer, I also wish to do well and make a case for myself. Definitely I see this as a chance. It will be nice to win the Trophy," he signed off.