The Gladiators sit top of the BetVictor Northern Premier with four wins from four, including three 1-0 victories.
Kittrick said: “We’re still a little light up front so I’m looking at a couple of strikers this week in training as we need to help Marshy (Marcus Marshall) and give him some support.”
The former Scarborough boss has already made 16 new signings since taking over from Dave Frecklington in the summer.
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