The 22-year-old has been one of the newly-promoted side's principle targets this summer and is now set to undergo a medical and finalise personal terms.
He scored an important goal against the hosts in the group stage that helped England ensure a place in the semi-finals.
Murphy is a graduate of Norwich City's academy and signed a new deal at the club only last November. He previously spent time on loan at Swindon, Southend, Blackpool, Scunthorpe, Colchester and Coventry.
