Wing Jones suffered a fractured right shoulder in Edinburgh's Heineken Cup semi-final defeat to Ulster while No.8 Denton has damaged ankle ligaments.
Edinburgh will be keen to improve on this year's RaboDirect PRO12 finish, having ended this campaign second from bottom, and will be keeping their fingers crossed that Denton and Jones' rehabilitations don't hit any snags.
Scotland team doctor James Robson said: "Lee suffered the fracture in the Heineken Cup semi-final loss to Ulster last month.
"Injuries of this nature typically resolve over the course of six to eight weeks, so he will not be available for the tour.
"David sustained the ankle injury in the final game of the league season against Treviso last weekend and subsequent scanning of the joint revealed damage to the ligaments.
"Following consultation with John McKinley, the ankle specialist at Spire Murrayfield Hospital, David will not require surgery but will now embark on a prolonged period of rehabilitation, which will rule him out of the summer tour.
"His estimated return would be between eight to 10 weeks."