Ferry operator Caledonian MacBrayne has started consulting people on Harris about the possibility of introducing a Sunday service.
At the moment, Tarbert, on the island, does not have a service on the Sabbath, although a boat goes empty from Harris to North Uist to provide a Sunday service to Skye from Lochmaddy.
The ferry company said it was aware that local opinions were divided.
It added that no decision would be taken until the consultation ended.
The first scheduled Sunday ferry sailing from the isle of Lewis, which is connected to Harris, began in June 2009.
There had been strong opposition on the island, where the Sabbath day has traditionally been strictly observed.
CalMac said religion or beliefs were not valid reasons under European law to refuse to run the ferry.
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