Sturridge left Anfield for Trabzonspor this summer after his contract expired, leaving the Reds a striker short.
Klopp opted against signing a replacement, and Brewster sees this as an obvious boost to his chances and proof his opportunity is around the corner.
"One less striker gives you more opportunity to break into the first team, so of course, Sturridge going there is more opportunity for me to play," he told the Mirror.
"You look at every single signing and Klopp not signing another striker, it seems he has faith in me to do a job as well."
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