The trees would be cut in various areas, including Nauroji Nagar, Netaji Nagar and Sarojini Nagar, an official with the Forest Department said on the condition of anonymity.
Around 11,000 trees would be cut just in Sarojni Nagar, the official said.
The Forest Department had given the permission to cut nearly 17,000 trees to make way for redevelopment of central government accommodations in the area, he said.
According to the Environmental Impact Assessment report, around 1,454 trees would be felled in Nauraji area and 3,906 trees in Netaji Nagar.
An official of the National Building Construction Corporation (NBCC) India Limited, a central public sector undertaking, said they planned to plant over 10 times of what had to be cut in the process.
According to a NBCC report, the plantation would be done two weeks after the rain starts, as the trees benefit from the seasonal rains.
"We have never seen compensatory plantation to be a successful solution for cutting old trees. Given Delhi's pollution levels it is necessary that old trees are not uprooted," said Padmavati Dwivedi, an activist.
Environment lawyer Aditya Prasad said the move would be "suicidal".
"There is no place to grow for compensatory plantations in Sarojini Nagar, Nauroji Nagar and Netaji Nagar. Given the spiking pollution levels, the move would be suicidal," said Mr Prasad.
Ten saplings have to be substituted for every tree cut, as per guidelines by the Forest Department.