A report has claimed United captain Rooney could be doubtful for Sunday's Barclays Premier League derby clash between the two sides after suffering a foot injury in training.
It was claimed Rooney was seen limping at a sponsors' event at Old Trafford on Monday after being hurt in training
United have not commented on the report.
Rooney had been poised to return to action in the Etihad Stadium encounter after missing United's last three games through suspension.
Louis van Gaal's side have been unbeaten throughout the 29-year-old's recent absence and the team are showing signs of turning around their underwhelming start to the campaign.
Nevertheless it would still be a blow should the England skipper not feature, given his past record against City
Rooney is the record goalscorer in Manchester derbies having scored 11 in 22 games for United.
But Pellegrini is dismissive of any suggestions that City could be lifted should he miss out.
The Chilean, who oversaw 4-1 and 3-0 wins over United last season, said: "I think Rooney is a very important player for Manchester United but I think that big teams never depend on one player
They have enough important, creative players to replace him."
Pellegrini was speaking at a press conference to preview City's Capital One Cup fourth-round tie against Newcastle on Wednesday.
Because of that fixture, he said the derby was not really in his thoughts yet.
He said: "We are thinking just about Newcastle
When we finish with Newcastle, we will start thinking about Manchester United.
"We have three games in a row here at home in three competitions so I think it is very important to be thinking just about the Capital One Cup and after that we will start thinking about Manchester United."
Source : PA
Source: PA