The 74-year-old singer's son Aamir said his father did not want to perform after what happened in Mumbai where his scheduled concert last month was cancelled after Shiv Sena threatened to disrupt it.
He, however, said Ali will visit when the atmosphere is right.
"The November 8 concert (in Delhi) is not happening now. After what happened in Mumbai, we don't want to take any risk. The atmosphere should be right for music. We don't want to get involved in any kind of politics. So much is happening there, it would not be right for us to come at this time," Aamir told PTI over phone from Lahore.
"We are not sure about the December concert too. He has many fans in India but he will visit when the atmosphere is right. While some politicians have extended invites there are others who want to create problem."
Besides AAP government, West Bengal Chief Minister Mamata Banerjee had also extended an invite to the ghazal maestro to perform.