A goal was coming however, and left-back Malone gifted it to the Canaries with a rash challenge in the box to upend Jacob Murphy.
Dorrans made no mistake from the spot in the 17th minute. Klose did well at the other end to defl ect another Aluko effort behind, but Denis Odoi headed over from the corner.
Fulham were further defl ated five minutes before the break when Malone was again penalised inside his own box.
This time he barged over Norwich striker Cameron Jerome as yet another dangerous cross came in, and Dorrans slotted home once again, this time off a post.
It was his fourth goal of the season – and his third from the spot – and appeared to leave Norwich set fair to claim all three points.