Murphy picked up an injury a few weeks back and was not risked for the Celtic game, but he has now fully recovered.
Killen had been out since his foot was stamped on, away at Kilmarnock and he too is now back to full fitness.
Mowbray said:
"David has been training all week and is looking fine. It wasn't ideal to leave him out of the Celtic game because Stephen Glass was injured as well. But the positive thing was that Jay Shields came in and showed us he can provide cover for the full-backs on both sides of the pitch by doing a decent job."
Mowbray also revealed that French playmaker "Boozy" and striker Sam Morrow are only "a few weeks away" from making a return to first team action, after both players ruptured the cruciate ligaments in there knees.
Mogga said:
"It's great to see Boozy's skill back on the training field. To have both him and Sam back will be almost like making two new signings."
Excellent news, it bolsters and already cracking squad!