More budget cuts are coming to the already cash-strapped Judicial Branch, although it’s too soon to say what belt-tightening measures will be taken.

In a letter to the Judicial Branch and Office of the Chief Public Defender, Gov. Dannel P. Malloy said last week that officials must submit plans for a combined $5.7 million in spending reductions for the current fiscal year, which ends June 31. The reductions, which are part of a plan to reduce spending across all state offices, are necessary to close a projected $365 million budget shortfall for the current year, Malloy said.