It had been established that 'AZAI' was the correct reading of '浅井', his family name and also the name of the territory, rather than the reading 'ASAI', however, some recent studies claim that 'ASAI' is actually the correct reading (see Keiichi MIYAJIMA's 'Asaishisandai' or 'The Three Generations of the Asai Family').
なお、名字および所領地の「浅井」の読みは「あざい」が正しく、「あさい」という読み方は誤りであると考えられてきたが、最新の研究では、やはり「あさい」が正しいという学説もある（宮島敬一著「浅井氏三代」参照）。