Bangladesh fans have attacked captain Shakib Al Hasan's house, breaking a window following the team's resounding loss to the West Indies on Friday.
The International Cricket Council has described the attack on the West Indies bus and on al-Hasan's house, as very disappointing.
"I am sure the security is firm enough to handle such issues. I have said before that we are very pleased with the security arrangements in the ongoing World Cup. They have got the expertise and the experience. I have no doubt that this will be comprehensively followed through," he added.
Lorgat said the incident was not that big a security scare to warrant a change of venue.
"We will not move a game lightly but it is not something that we would discount for briefing. I do not believe that particular incident justifies any games to be moved from there just like that. I think we will consider moving with the schedule that has been set out.
"We do have contingency plans above security arrangements that are in place. I am extremely confident that you will see the tournament is held as scheduled," he added.
Bangladesh's elite Rapid Action Battalion arrested 38 people after the attack.
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