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Tejpal is accused of sexually assaulting a junior colleague in an elevator at a five-star hotel during ThinkFest conference in Goa in 2013.
Tejpal's counsel had moved an application under Section 327 (ii) of the Criminal Procedure Code for allowing in-camera trial.
Additional District and Sessions Judge Vijaya Pol allowed the plea, Public Prosecutor Francisco Tavera told reporters on Friday.
The law provision allows for in-camera proceedings in sexual assault cases, if the presiding judge deems it fit.
Meanwhile, Tarun Tejpal evaded journalists waiting outside the courtroom in Mapusa town, a short distance from the state capital.
The next hearing is scheduled for Saturday.