MOSCOW, May 16 (Reuters) - Proceeds from oil and gas sales for Russia's federal budget are set to decline by around one third to 0.80 trillion roubles this month from 1.23 trillion roubles ($13.47 billion) in April, Reuters calculations show.

The proceeds are expected to slip on a monthly basis but still demonstrate a rise from 0.57 trillion roubles in May 2023.

Proceeds from oil and gas sales for Russia's federal budget fell 6% in April from March, finance ministry data showed, but almost doubled from the same month a year ago.

The finance ministry is expected to disclose the May budget proceeds in early June.

Russia's energy revenue has been squeezed by Western sanctions such as price caps and an embargo on seaborne oil exports, and by the closure of the Nord Stream gas pipelines to Europe, which were blown up in September 2022.

Reuters' calculations are based on data from industry sources and official statistics on oil and gas production, refining and supplies on domestic and international markets.

Proceeds from oil and gas sales are crucial for Russia's commodity oriented economy and for the financing of what it calls its "special military operation" in Ukraine.

Russia's budget deficit for the first three months of the year narrowed to 607 billion roubles, or 0.3% of gross domestic product (GDP), supported by a recovery in energy revenue.

For 2024 as a whole, the government has budgeted for federal revenue of 11.5 trillion roubles from oil and gas sales, up 30% from 2023 and reversing that year's 24% decline owing to weaker oil prices and sanctions-hit gas exports.

(Reporting by Reuters; Editing by Kirsten Donovan)