The company has said that if the wholesale falls in energy market prices continued, then it was "optimistic" about being able to cut bills for its domestic customers, but most likely not until the new year.
Ian Marchant, chief executive of SSE, said: "If the downward trend in wholesale prices is maintained, I'm optimistic of [being able to make] price reductions for domestic customers during the early part of next year."
Customer Focus recently urged energy customers in the UK to "be careful" when it comes to estimated gas and electricity bills.
It claimed homeowners could be paying current higher prices for energy used when the prices were cheaper.
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