From Longman Dictionary of Contemporary Englishdotedote /dəʊt $ doʊt/ verb → dote on/upon somebody→ See Verb table
Examples from the Corpus
dote• On my advanced age, I dote.• This is typical of the celebrity worship sites erected by doting fans.• Gloria had an old Studebaker that her doting father had given her.• I was born six months later and immediately became the darling of my doting grandmother.• No doubt the woman thought him a concerned, doting husband.• Telbis-Preis developed a secret friendship with the diplomats, who would often dote over her young son, Nicolae.Origin dote (1100-1200) Perhaps from Middle Low German or Middle Dutch doten “to be stupid” 