A method and computer system for implementing, in a multithreaded environment, an almost non-blocking linked list allow a lock-free access provided that certain conditions are met. The approach involves: associating a pointer and an auxiliary data structure with each linked list, using a compare-and-swap (CAS) operation, and making a slight modification of values associated with nodes under certain conditions. The CAS operation guards against setting the pointers incorrectly during insertion and removal operations. The auxiliary data structure, also referred to as the `black list,` holds a dynamic list of values, typically pointer values, associated with nodes that are in the process of being removed by a thread.