After falling to defeat in his first game in charge in a pre-season friendly in South Africa, the Chilean says he wants two players for every position in his squad
Having sold Carlos Tevez to Juventus, City are short of options in attack although Goal understands the club are closing in on a double swoop for Stevan Jovetic and Alvaro Negredo.
Edin Dzeko missed chances as City failed to score in the first half, before the manager fielded a largely reserve team for the second half and saw his side concede two goals without reply before Yaya Toure was forced off through injury.
Pellegrini admitted after the game that he was keen to dip into the transfer market but would not be rushed into any signings.
"We are aware that we need two or three more players," he told reporters after the match.
"It's important to have a very good squad. I said before we came to South Africa that we need two players for each position and that's what we are looking for and I'm sure we will get them.
"It's difficult to say exactly which day but before the end of the month we will have a new attacker.
"We are working hard on new acquisitions before the start of the new season but we are not in an immediate hurry to bring them on board."