Prosecutors on Friday demanded the Olympic sprinter Oscar Pistorius appear in court as soon as possible, one day after he was convicted of murder for killing his magazine-model girlfriend, but they denied issuing a warrant for his arrest.

Pistorius must appear in court "as a matter of extreme urgency," and the court will determine any bail amount at that time, said Luvuyo Mfaku, spokesman for the National Prosecuting Authority. The Pistorius family has said attorneys will provide advice on legal options.

A spokesman for prosecutors had previously said they issued an arrest warrant, but the Prosecuting Authority later denied it.

On Thursday, the Supreme Court of Appeal overturned a lower court's manslaughter conviction of the runner. Pistorius spent one year of a five-year sentence in jail for the lesser offense and then was put under house arrest at his uncle's mansion in Pretoria in October.

Pistorius shot Reeva Steenkamp through a bathroom door in his home early on Valentine's Day 2013. Prosecutors said he killed her after an argument; Pistorius said he killed her by mistake, thinking there was an intruder in the house.

Justice Lorimer Eric Leach said that regardless of who Pistorius said he thought was behind the door, he should have known someone could be killed if he fired.

Under South African law, a person can be convicted of murder if he or she foresaw the possibility of someone dying through their actions and went ahead anyway.

Fox News' Paul Tilsley and The Associated Press contributed to this report.