The phrase "emotional availability" means being open and receptive to understanding and expressing emotions. It refers to someone's ability to connect with and support others on an emotional level. Full definition
The dynamics of emotional availability in childcare: how infants involve and respond to their teen mothers and childcare teachers. (connectedbeginnings.org)
One needs to understand «where» a relationship is in terms of emotional availability in order to move it to a higher level. (emotionalavailability.com)
Both mothers and adult children responded to items measuring depressive symptoms and social skills, and adult children responded to items measuring perceived emotional availability of mothers. (interpersona.psychopen.eu)