Galveston's hurricane preparedness town hall meeting is scheduled for Wednesday night.
Jaworski, who took office last week, campaigned on a pledge of trying to reopen the island 24 to 72 hours after a disaster.
Ike devastated Galveston on Sept. 13, 2008.
Then-Mayor Lyda Ann Thomas, who was barred from seeking re-election due to term limits, closed Galveston for 11 days to most people except emergency personnel. Thomas has said she did the right thing during unsafe and unsanitary conditions.
A newly formed marine response team on Wednesday afternoon will conduct a mass casualty training exercise in Galveston.