This article aims at understanding the meanings expressed by women concerning the breastfeeding support received at primary health care (PHC) units. A study was conducted in 24 PHC units in the State of Rio de Janeiro for the purpose of investigating why pregnant women and mothers felt supported (or not) by these units regarding breastfeeding. Heidegger's phenomenological approach was used to develop five structures of meaning, evincing the breastfeeding support provided as "none", "dubious", "incentive", "guidance", and "partnership". When the mothers were asked for suggestions about how the unit could help them breastfeed, their answers generated a new structure of meaning: "continuous support". Some women gave no suggestions, stating that they had none or were satisfied with the support provided. The women indicated possibilities for care based on the singularity of the clientele and on the authenticity of the health-care staff/user relationship. In that process, solicitude needs to be incorporated into the practice of PHC units, so that they can be an effective space for breastfeeding promotion, protection, and support.