He said the central government had sent the communication on October 3.
"We have received communication of compensation to the tune of Rs 1,189 crore for July and August towards revenue loss we incurred due to GST rollout," Gowda, who represents Karnataka at Goods and Services Tax (GST) Council meetings, told PTI.
Gowda said he hoped that in a matter of one or two years, Karnataka no longer relied on compensation.
The agriculture minister also wished that revenue flow in the state improves.
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"We are hoping revenues of the state will improve, and wewouldn't have to press for compensation.. In amatter of one or two years, we may not have to rely oncompensation," Gowda said.
Replying to a query, Gowda said it will be difficult to predict accurately the quantum of revenue shortfall because ofthe unavailability of accurate data.
On September 21, Gowda had said that the state had faced a revenue shortfall of about Rs 600 crore in July due to "GSTN glitches."