London ( CNN ) -- Saif al-Islam Gadhafi , the son of Libya 's deposed leader Moammar Gadhafi , could go on trial `` within weeks or months , '' the country 's interior minister said Sunday . The investigations into the death of Moammar Gadhafi after his capture last year could also be completed soon , Fawzy Abdilal said . Saif al-Islam 's case will be handed to the courts as soon as the prosecutor general completes his investigations , Abdilal told CNN in an exclusive interview . Separately , military trials of those who `` committed criminal acts under the Gadhafi regime '' began Sunday in the city of Benghazi , National Transitional Council member Mohammed El Sayah said . He did not name those who were being tried , but said `` even civilians who had guns and fought under the Gadhafi regime '' would be tried before military courts . Trials elsewhere in the country will start later , he said . Benghazi was the center of resistance to the Gadhafi regime last year . Saif al-Islam Gadhafi , once his father 's heir apparent , was captured in November and has been held in the Libyan city of Zintan since then . Human Rights Watch said after visiting Saif al-Islam in custody last year that he should have a lawyer , but Abdilal implied he had not asked for one . `` He may have a lawyer if he asks for a lawyer , '' the interior minister said . `` Should Saif demand a lawyer , then a lawyer would be provided . '' He also brushed aside accusations that authorities are torturing detainees under the new government . There are `` not systematic violations as there were under the Gadhafi regime , '' he said , even as he conceded that `` there may be cases of individuals who take the law into their own hands . '' `` There is no comparison whatsoever between the situation prevailing under Moammar Gadhafi and the situation now , '' he said . Moammar Gadhafi was killed in October , two months after he was deposed by rebel fighters . Abdilal said the circumstances of his death were complicated . `` It was a battlefield , he was carrying weapons , there were fighters around , no one was controlling those fighters , '' Abdilal said . And , he said , `` Many people claim that they are the ones who killed Gadhafi , and that is complicating matters . '' Abdilal acknowledged that the interim government had not yet succeeded in integrating militias from different cities into a national security force , saying his visit to Britain was partly to seek help with that task . Fighters from Zintan still control the international airport , he said , adding that he expected them to hand control over to the Ministry of the Interior `` within two weeks . '' CNN 's Raja Razek contributed to this report .
NEW : Military trials of Gadhafi supporters begin in Benghazi , an NTC member says . Comment: Saif al-Islam Gadhafi could have a lawyer if he asks for one , the minister says . Probes into the death of Moammar Gadhafi could also be completed soon , he says .