The meetings form part of the National Speed Management Review, which aims to ensure that speed limits are appropriate and contribute to reducing injuries and deaths on roads.
The review seeks feedback on plans to lower the national speed limit on single carriageway roads from 60mph to 50mph, and to increase speed limits for goods vehicles weighing over 7.5 tonnes on single carriageways from 40mph to 50mph, and on dual carriageways from 50mph to 60mph.
Both Arran and Ayr will have meetings available to the public to discuss the issues.
The engagement event in Arran will be held on Wednesday, January 15 inside Lochranza and Catacol Village Hall from 3pm to 7pm.
Lochside Community Centre in Ayr will also host an engagement meeting, on Thursday, January 16 from 3pm to 7pm
The online consultation, which began on November 27, 2024, has already garnered more than 8,700 responses.
To further engage the public, a series of in-person events will take place across Scotland in January and February, where attendees can ask questions about the proposed changes.
Transport Secretary Fiona Hyslop said: “Road safety is a priority for the Scottish Government and we remain absolutely committed to working towards our ambitious goal of making Scotland’s roads the safest in the world by 2030.
“We have already had a huge response to the online consultation, and these events will enable people to learn more about the proposed changes.
“It’s also really important that we hear views from the public and stakeholders.
“Evidence from the National Speed Management Review indicates that revising speed limits could lead to a significant reduction in the number of injury collisions on our roads while maintaining journey times and enhancing journey time reliability.
“I’d like to thank everyone who has taken the time to engage with the consultation so far, and hope people will take the opportunity to attend these sessions.”