The carving work by artisans had been carried out uninterrupted since 1990 when Mulayam Singh Yadav of the Samajwadi Party was Uttar Pradesh chief minister.
The SC asked special judge to control the proceedings in accordance with law so that inordinate delay that is beyond the time-frame is no longer breached.
The top court, which had earlier fixed August 31 as the deadline for completion of proceedings including pronouncement of the verdict, took note of the report filed by special judge S K Yadav in the high-profile case.
There are indications that the Modi dispensation was disinclined to bring the VHP into the temple-mosque frame.
The CBI court also ordered framing of charges against the accused in light of the Supreme Court order dated April 19, 2017.
Once Ram temple is built it will become a 'ghoshit (declared) Hindu Rashtra', a VHP leader told the gathering.
The court granted bail to Advani, Joshi and Bharti after they appeared before it.
The apex court, however, noted that Rajasthan Governor Kalyan Singh enjoys Constitutional immunity and can be tried only after he ceases to hold the office.