An Adelaide council will review the use of cricket balls at its reserves after a councillor raised the fear it could be sued if someone was injured by a stray ball.

While Port Adelaide Enfield councillor Mark Bashman agreed the move was a "nanny state-type situation", he said council needed to find a balance.

He said the proposal, which was being reviewed by staff, would ban cricket balls from use at reserves if the players had not booked the area.

"It would mean people could still use cricket balls if they simply booked it," Cr Bashman said.

"They don't have to be a club to do that. We often get bookings from users who simply want to book the reserve."

He said there had been reports of people being hit by balls.

"Currently there is a lot of cricket balls flying around the local parks when there are people walking around doing things like walking their dog, pushing prams and other things of that nature," he said.

Cr Bashman said no decision had been made and councillors would wait for the report.

"It's a nanny state-type situation because unfortunately in this world every time someone gets hurt they look for someone to sue and evidently you go to the people who have the most money and in this case it is council.

"The local football and cricket club don't have a lot of money and therefore council is the ultimate people to go looking to sue."

Text messages sent to 891 ABC Adelaide described the proposal as "ridiculous" and "what a kill joy".