By FOX Sports Staff
City succumbed to a 3-1 loss against Arsenal over the weekend and Pellegrini admitted that the defending in the game left him far from satisfied.
With Matija Nastasic ruled out for the start of the season with an ankle injury and Kolo Toure sold to Liverpool, City are now left with two outright central defenders in Vincent Kompany and Joleon Lescott - a situation that Pellegrini is keen to remedy before the start of the season.
"We'll see next week if I can bring in the player we need," Pellegrini said.
"If not, we have in our squad the way to resolve that problem. We had some problems defensively and we will work on that."
"It wasn't the best way to finish pre-season. I'm always concerned when we're losing 3-0 but we just a lost a game in pre-season, we didn't lose three points and that's important for me."
Pellegrini insisted the lopsided scoreline was not indicative of his side's efforts during the match.
"The score didn't reflect what happened during the match. We had chances but didn't score. Arsenal had three or four chances in the whole match and scored three," the former Malaga head coach said.
"It was the pre-season I thought we would have. We are changing a lot of things, we're starting a new cycle with a different style of players. It's normal that the team will make mistakes.
"Of course the expectation is too much and that's a good thing. We all have expectations and are hopeful for the new season.
"When you make a lot of changes you need time but I'm sure we will improve the little things we have to in the next 10 days."
Manchester City begin their Premier League campaign next Monday evening against Newcastle at the Etihad Stadium.