Cr Alley said the drop-in sessions meant the councillors could address concerns, questions or feedback residents had — "anything people want to talk about", she said.
A "handful" of people had spoken to councillors on Friday morning about a range of issues affecting Clyde, including the heritage precinct upgrade.
Cr Paterson said previously, residents had told her councillors were not accessible.
Drop-in sessions were a good way for councillors to be on hand to the public, and were potentially less daunting than a council meeting, she said.
"We want to be accessible for people," Cr Alley said.
The councillors planned to repeat the drop-in sessions around the Vincent ward, with a range of times to try to reach as many people as possible.
The drop-in sessions will be advertised on social media and in the local area before the meeting.