Addressing the media on Thursday, Indrajit Lankesh further said that Special Investigation Team (SIT) has formed three different teams and they are working on the case.
"It's not about going to the CBI, it's not about a special judge or SIT, it's about getting justice. And for that we are ready to do anything," Indrajit Lankesh said.
An SIT comprising of 19 officers, headed by IGP Intelligence BK Singh, has been formed to probe Lankesh's murder.
Senior journalist Lankesh was shot dead on Tuesday at her residence in Bengaluru's Rajarajeshwari Nagar by some unidentified assailants at around 8-8:30 pm.
As per the reports, three bullets were pumped in her body.
Her last rites were held at Bengaluru's Chamrajpet Cemetery earlier in the day.
Lankesh was the editor of the Gauri Lankesh Patrike, a tabloid described as an "anti-establishment" publication.