Lucy Burroughs answered
Dreams of breast-feeding are often thought to symbolise a motherly love, a nurturing personality, tenderness and joy.
Many people who practise dream interpretation would say that you are longing for a close, maternal bond; the kind of pure, unconditional love that exists between mother and baby. This does not necessarily mean that you are ready to have a child, but that you are looking for the all-encompassing, all-accepting bond that a mother is supposed to have with her baby.
Some would argue that there is a void of emotional intimacy, love, and acceptance in your life - one that you are seeking to fill.
What if I'm a guy who dreams of breast-feeding?
Dream interpreters will often claim that men who dream of breastfeeding are due success; the act of nurturing a baby can be seen to symbolise the way you might care for a project that's important to you. For example, if a musician dreams of breast-feeding, this could mean that they're putting a lot of care and energy into their music, and will be rewarded.