"John's very experienced having done it all before and I'm sure he will be well briefed," Harper told BBC Newcastle.
"Alan's punishment is about par, I think it could have been a little bit worse.
"John obviously knows the club inside-out and whether as a full-time manager or caretaker, he understands what to do in that role too.
"Now it's time for Newcastle to look forward. I hope it goes well this weekend [away at Fulham], both with my Newcastle and Hull caps on."
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