A division bench of Chief Justice R Subhash Reddy and Justice V M Pancholi was hearing a public interest litigation filed by Kantibhai Chavda, seeking transfer of the case to CBI. At present, the state CID is probing it.
The court asked the Government Pleader to file a probe progress report by September 7.
"CID Crime has not proved to be effective in any (Dalit) atrocity case in the state in the past," Chavda's petition has alleged.
CID closed the case, saying that it found no evidence, and Una case might meet the same fate, the PIL has said.
On July 11, seven Dalit youths were brutally beaten up by a cow vigilante group at Mota Samadhiyala village in Una tehsil of Gir Somnath district. The assailants had alleged that the youths had killed the cow which they were skinning.
The video of the incident went viral, sparking nation-wide protests.