The 1.6-km-long flyover from near St Stephen's Hospital to Filmistaan Cinema, was originally scheduled to be completed by 2010, but has missed several deadlines.
Baijal also directed all stakeholders to take action in a time-bound manner and work within strict timelines.
"The LG will again visit the site after a month to review the progress of the project and ensure that this much-needed project for decongestion of traffic in the area is completed by October-end," the Raj Niwas said in a statement.
North Delhi Municipal Corporation Commissioner P K Gupta told Baijal that despite "various hindrances" coming in the alignment, "most of the work has been completed".
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Northern Railway official present in the meeting said the railway work will be completed by mid-September.
CEO, Delhi Jal Board informed the LG that the work of shifting of major pipelines and sewer will be completed by tomorrow. Baijal urged the CEO DJB to ensure that there should be no leakage from pipelines, the statement said.
He further instructed the commissioner that materials used should be of prescribed standards for the construction of Grade Separator.
New Delhi Mayor Preety Agarwal had also on May 25 inspected the progress of the construction.
"The project will benefit residents of areas like Shakti Nagar, Karol Bagh, Gulabi Bagh, Kamla Nagar, Sadar Bazar, Paharganj, Azad Market and surrounding areas," she had said.