The Chilean has already put his stamp on the squad that he inherited from former boss Roberto Mancini, having so far recruited Fernandinho and Jesus Navas from Shakhtar Donetsk and Sevilla, respectively, but still wants more before his side kick off against Newcastle on August 19.
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"We will try to have a very good squad this year so, as you say, we are in the market. We don't know at this moment who is going to come here but we are trying to get the best players for us to add to our squad," Pellegrini told reporters.
"I don't know if, before we finish here in South Africa, other names will arrive to our squad. Maybe in the next few days we can have fresh news but at the moment I cannot tell you what you ask."
City's visit to South Africa is the first leg of a pre-season tour that will also see them travel to Hong Kong, Munich and Helsinki.
Pellegrini has taken a squad of 30 players with him to the southern hemisphere but there are two notable omissions.
"Jesus Navas and David Silva are still on their holidays," the 59-year-old added. "They've just finished the Confederations Cup some days ago, they have at least 21-25 days holiday."