An enhanced, co-formed fibrous web structure is disclosed. The web structure may have a co-formed core layer sandwiched between two scrim layers. The core layer may be formed of a blend of cellulose pulp fibers and melt spun filaments. The scrim layers may be formed of melt spun filaments. Filaments of one or both of the scrim layers, and optionally the core layer, may also be meltblown filaments. The fibrous web structure may have a Consumer Preference Indication (governing allocation of melt spun filaments between core layer and scrim layers) greater than 0. Alternatively, the filaments forming the scrim layers may constitute from 1 to 13 percent of the weight of the structure. Alternatively, the scrim layers may have a combined basis weight of from 0.1 gsm to less than 3.0 gsm. A method for forming the structure, including direct formation of layers, is also disclosed.