A microprocessor conditionally grants a request to switch from a normal execution mode in which encrypted instructions cannot be executed, into a secure execution mode (SEM). Thereafter, the microprocessor executes a plurality of instructions, including a store-key instruction to write a set of one or more cryptographic key values into a secure memory of the microprocessor. After fetching an encrypted program from an instruction cache, the microprocessor decrypts the encrypted program into plaintext instructions using decryption logic within the microprocessor's instruction-processing pipeline.