The committee was asked to submit its report by December 9.
Till then, Mann has been asked not to attend the proceedings of the house.
Mahajan informed the house that the nine-member committee headed by Bharatiya Janata Party MP Kirit Somaiya has sought another extension.
Mann, the Aam Aadmi Party MP from Sangrur, had triggered a controversy in July by live-streaming on social media the security arrangements at the Parliament House complex.
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