The 48-year-old is currently also assistant coach of Melbourne City's A-League side but the club says his shift to the English team is effective immediately.
Montemurro coached Melbourne Victory in the W-League in 2014-15, when they finished runners-up before moving over to City and helping them to a Premiership-Championship double in 2015-16.
Under his tutelage, they became the first club in the competition to claim consecutive titles last season and the assistant's position with City's A-League side followed.
The Melbourne-born coach has since thanked Melbourne City for the opportunities.
"The club has always been supportive and allowed me to develop and grow both professionally and personally," Montemurro said in a statement on Wednesday.
Montemurro replaces Pedro Martinez Losa at the FA Women's Super League club.