The 20-year-old signed for the Blades for an astounding fee of £23.5 million, becoming Sheffield United's most expensive transfer ever.
In these appearances, he has only registered one attempt on goal, with this coming against City.
Brewster is determined to try and repay the faith that the Blades management has put in him by getting him for such a large fee.
Despite this, he will also be wary of how Chris Wilder's team have scored just a single goal in open play during the seven Premier League games of the season so far.
Speaking on his situation, Brewster said "I wanted to try and get as fit as possible,and that has been why it’s been decided to stay behind and work really hard to put myself in the best possible place to be right for the games coming up."
He added that "Towards the end of the season there, there was a change of shape to something similar to what is played here."
"I scored quite a few goals after that and there’s similarities between the two clubs."
“I know when the team is right at it, that chances will be created. Then it’s up to me to be in the right place at the right time and take advantage."
He concluded by saying that he is "looking forward to building some partnerships here."
Sheffield United now have another tricky fixture, as they travel to Chelsea, the club that Brewster started his career at, then moving to Liverpool at the age of 14.
The Blades are currently in 19th place with just one point, and the team below them, Burnley, have a game in hand on them.