I-Lhasa Apso luhlobo lwenja enemvelaphi malunga ne-2000 kwiminyaka edlulileyo kwiintaba zaseTibet. Ngokwenyani, igama lenzala likwanenguqulelo yegama elithi "ibhokhwe yentaba". Elo gama lingaqhelekanga lanikwa olu hlobo ngenxa yedyasi ende kakhulu kunye nokukwazi ukoyisa ngobubele amathambeka eentaba.
Iinjana ze-Lhasa apso ziye zahlonitshwa ngabemi baseTibet ngamaxesha onke kwaye yayiyi-talisman ezisa inhlanhla kunye nolonwabo kumnini. Kwakuthathwa njengophawu lwentlonipho ekhethekileyo ukunika umntu injana yeLhasa Terrier. Akumangalisi ke ngoko ukuba, ngokufuthi zazinikelwa kumagosa azizityebi kwanabalawuli. Iimonki zaseTibet zazihlonela izinja njengezidalwa ezingcwele, ngoko ke ukuthunyelwa kwazo ngaphandle kwelizwe kwakungavumelekanga. Ubukhulu becala ngenxa yesi nyaniso, kuye kwenzeka ukugcina "igazi elicocekileyo" lohlobo kuze kube namhlanje.