A trial court had last year held Bajrangi guilty as the main conspirator of Naroda Patiya massacre, in which 97 people were killed.
Bajrangi's application said his wife Meena Patel had been diagnosed with a tumour in the uterus and she required a very risky operation which needed Bajrangi's signature of consent.
The prosecution opposed it, saying that other relatives could sign the consent form, but the court granted Bajrangi the relief. He would have a police escort, expenses of which he would bear.
His earlier plea in this regard had been rejected because the medical certificate submitted did not mention the date of the surgery.
Recently, the Gujarat state legal department approved the recommendation of the SIT to file an appeal in the high court seeking death sentences to 10 convicts including former minister Maya Kodnani and Bajrangi in the case.
The HC bench on Thursday also granted temporary bail for a week to Pintu Jadeja, another convict of the Naroda Patiya case, who has got 24 years sentence. He had sought temporary release to arrange money for the treatment of his nephew, who is suffering from a serious malaria infection.
He has been asked to produce surety of Rs. 10,000 and be present everyday at Naroda Police station from April 19 to 25, while on temporary bail.