The league leaders travel to Scarlets on Friday before hosting Ospreys and finishing the regular league season with a trip to Connacht.
Kellock insists the focus is on securing a home semi-final as they aim to bring home the RaboDirect PRO12 trophy.
And the lock is confident he can make a big personal contribution for Gregor Townsend's men.
"Although I might have wanted to start every one of the Scotland Six Nations games I didn't, and I am probably going to benefit from that down the stretch now," the 31-year-old told the Evening Times.
"So I have kept my match fitness and am just very hungry and motivated right now.
"I also believe there are things I can improve on over the last three games - for one I need to be hitting lower in the tackle.
"So I think I can still raise the bar in terms of my own game for Glasgow."
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