Privacy curtains to allow female Muslims to swim without worrying about men watching are causing controversy for a western Sydney council.

The privacy curtains have been installed at Belgravia Leisure, a council-run facility in Auburn.

The curtain runs around a glass wall which is drawn when female-only swimming sessions are held for two hours every Sunday and at other times during the week.

"The curtains, which are retractable and can be used or not used at any time, ensure we have provided a space that is accessible to and inclusive for all," Cumberland Council general manager Malcolm Ryan said in a statement to A Current Affair.

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