A processing pipeline 6, 8, 10, 12 is provided with a main query stage 20 and a fetch stage 22. A buffer 24 stores program instructions which have missed within a cache memory 14. Query generation circuitry within the main query stage 20 and within a buffer query stage 26 serve to concurrently generate a main query request and a buffer query request sent to the cache memory 14. The cache memory returns a main query response and a buffer query response. Arbitration circuitry 28 controls multiplexers 30, 32 and 34 to direct the program instruction at the main query stage 20, and the program instruction stored within the buffer 24 and the buffer query stage 26 to pass either to the fetch stage 22 or to the buffer 24. The multiplexer 30 can also select a new instruction to be passed to the main query stage 20.