1. A method for determining eviction of store cache entries based on store pressure, the method comprising: determining, by one or more computer processors, a count value for one or more new store cache entry allocations; determining, by one or more computer processors, whether a new store cache entry allocation limit is exceeded; responsive to determining the new store cache entry allocation limit is exceeded, determining, by one or more computer processors, an allocation value for one or more existing store cache entries, the allocation value indicating an allocation class for each of the one or more existing store cache entries; determining, by one or more computer processors based, at least in part, on the allocation value for the one or more existing store cache entries, at least one allocation class for eviction; and determining, by one or more computer processors, an eviction request setting for evicting the one or more existing store cache entries.