A processor includes a front end including a decoder to decode an instruction, a scheduler to assign execution of the instruction to a core, and a core to execute the instruction. The instruction specifies that interrupts such as corrected machine check interrupts are to be selectively suppressed. The processor further includes an error handling unit including logic to determine that an interrupt caused by an error is to be created and that an error consumer has requested interrupt notification. The error handling unit further includes logic to, based on the instruction specifying that interrupts are to be selectively suppressed, send the interrupt to a producer that issued the instruction rather than the error consumer.