Lorgat, the former convenor of Cricket South Africa's (CSA) selection committee, has already been intimated for a possible meeting with the International Cricket Council's four-memeber recruitment committee this week.
''It's very premature to even talk about this subject,'' Lorgat was quoted as saying by a website.
''But obviously if the job is indeed offered to me, I would consider that a great honour,'' he added.
The other candidate who has been shortlisted for the job is also a South African, Dave Richardson, who is currently the ICC's general manager, cricket.
The ICC president-elect, David Morgan said, ''In fact, we have been fortunate to have several high-calibre candidates on the shortlist, all of whom bring something slightly different to the table.'' The ICC's four-member recruitment committee comprises Morgan, Ray Mali, the ICC president, Sharad Pawar, the BCCI president and Creagh O' Connor, the chairman of Cricket Australia.
''Once the recruitment committee has identified a preferred candidate, it will make a recommendation to the ICC executive board with a view to confirming the appointment at the earliest opportunity,'' an ICC spokesman said.
The new CEO will take over from Malcolm Speed, who steps down from the position after this year's ICC Annual Conference, which will take place between June 29 and July 4.