Besides, a five-judge Constitution bench headed by Justice Gogoi will pronounce judgement on the pleas seeking review of the top court's verdict allowing women of all ages to enter the Sabarimala temple in Kerala.
The RSS has no plans to celebrate the "victory" if the Supreme Court's decision on the Ayodhya land dispute comes in favour of the Hindus, said the source adding that members however can not be stopped from lighting lamps.
The 16th-century Babri Masjid mosque was destroyed by Hindu hard-liners in December 1992.
In addition to 500 arrests of would-be trouble-makers, Uttar Pradesh state police chief O.P. Singh told the Economic Times that 10,000 "anti-social" elements had been identified.
A separate piece of land in Ayodhya would be given over to Muslim groups to build a new mosque, the court ruled in a historic judgement aimed at ending a bitter and decades-old legal and sectarian battle.
The dispute involves 2.77 acres of land in Ayodhya, which right-wing activists believe was the birthplace of Lord Ram.
The Supreme Court is scheduled to deliver the verdict in the politically sensitive case on Saturday morning.
In view of the Supreme Court's verdict, the RSS has cancelled all its programmes lined up for the month of November and has asked its workers to cancel their tour schedules as well. The judge, who was elevated to the apex court on May 13, 2016, also concurred with the majority verdict in Indian Young Lawyers Association versus State of Kerala, popularly called the Sabarimala case, in holding that the practice of prohibiting women of menstruating age from entering the Sabarimala temple was discriminatory and violative of women's fundamental rights.
The disputed land, which lies 550 kilometers (350 miles) east of New Delhi, was the site of the 6th-century Babri Masjid mosque.
Construction of a "grand temple" in Ayodhya has always been an election promise of Prime Minister Narendra Modi's Hindu-nationalist Bharatiya Janata Party (BJP), which secured a second term with a landslide general election victory this year.
The holy site at Ayodhya has been the centre of a dispute between Hindus and Muslims.
The verdict will be seen as a political victory for Modi, who won a second term in a landslide general election win this year.
Speaking on the SC verdict in the evening, Modi welcomed the manner in which every section of society, every community, every religion, the entire nation embraced the verdict with open arms.
It said there is evidence that Ram Chabutra, Sita Rasoi were worshipped by the Hindus before the British came.
The Uttar Pradesh government has also tightened the security across the state with a heavy police force and paramilitary personnel deployed ahead of the verdict.