The bakeries have been allowed to operate on Sundays since 1982, after a state of emergency was declared following a cyclone, but church leaders says it must end.
Tonga has traditionally been strongly opposed to commercial trading on a Sunday.
The commerce minister, Pohiva Tu'i'onetoa, said the government wants a compromise and it has been talking with the various stakeholders, including the public through talkback radio.
"The government can see the mood of the people on the expected change and we may make a decision this week or next week," Mr Tu'i'onetoa said.