Authorities have argued that ballistic evidence shows Pistorius had to intentionally target the toilet to strike Steenkamp, and that evidence shows he was standing on his prosthetic legs when he shot through the bathroom door.
Pistorius said in his statement that when he shot through the door, he was feeling vulnerable to an intruder because he was not wearing his legs and had limited mobility.
Prosecutors are fighting bail because they worry that Pistorius will disappear if he's released, and they say that he has a history of police encounters that suggest he is a threat to public safety.
Pistorius has pledged to stay in South Africa and fight the charges if released, adding that he's unlikely to escape notice as a well-known athlete who walks on prosthetic legs.
His family issued a statement Thursday afternoon through Vuna Reputation Management, saying that they "fully respect the bail hearing process."
"They understand it is in the full interest of justice that the process associated with the bail application be followed in its entirety", said Arnold Pistorius, Oscar Pistorius' uncle and family spokesperson. "We are strong and supportive as a family, for Oscar, but we understand that this is in the best interest for all."
Anger about detention
In other developments, the women's branch of South Africa's ruling party accused authorities of giving Pistorius special treatment by holding him at the police station instead of prison.
"If there is some special circumstance that permits this, authorities must share this with the public as they are setting a bad precedent," the statement from the African National Congress Women's League said. "All should be treated equally before the law no matter your standing in society."
Nike pulls away from sprinter
Also Thursday, Nike announced it had suspended its contract with Pistorius, saying it would "monitor the situation closely."
Nike had already pulled a TV ad featuring the sports star.