And the Chilean, who led the club to the Barclays Premier League title last season, has said he would like to stay beyond his current deal, which ends in summer 2016.
Pellegrini's position has become the subject of scrutiny after an indifferent spell which has seen City's title defence falter and left their Champions League hopes in a precarious state.
There is precedent for the club to sack a title-winning manager, having done so to Roberto Mancini just two years ago, and rumours this week have already linked Pellegrini with a move to Napoli.
But the 61-year-old said: "My future is very easy
I have contract here until June 2016 and I will finish my contract here and if I can extend my contract, I will extend my contract.
"When I sign a contract, I always try to finish my contract in the amount of years I sign at the beginning.
"If I am not happy, maybe you try and finish your contract before (but) here I am very happy
I will continue without any problems until the end of my contract."
Pellegrini lifted the club after Mancini's reign unravelled in the second part of the 2012-13 campaign.
He restored harmony to the dressing room after a fractious period and over the past two years stories of disharmony have notably declined.
That changed this week, however, as reports surfaced of an alleged bust-up between captain Vincent Kompany and midfielder Fernandinho during the recent loss at Liverpool
It was claimed that Fernandinho reproached Kompany over a mistake which led a goal being conceded and an argument ensued
The claims were then given added weight by the fact neither player was selected for the next game at Leicester.
But the incident has been played down by the club with Fernandinho himself saying it was "just a conversation".
Pellegrini, speaking at a press conference to preview Saturday's game at Burnley, said: "No, there is not any problem in the dressing room
That happened a lot of days ago.
"It is normal that in one game that there can be a discussion between two players but it was not important for the team
Inside the dressing room, we don't have any problems
There was a normal scene, nothing important."
Pellegrini also brushed off concerns that some details of the incident had been leaked to media.
He said: "I don't worry about what newspapers want to say about different things
I manage the squad in one way
I don't have any problems with the players
There are no problems inside the dressing room so it doesn't matter what newspapers want to tell."
Pellegrini said he left Kompany out of the side to face Leicester in order to freshen up the team physically and mentally after the dispiriting result at Anfield
Fernandinho has since said he had a slight calf injury and felt unwell.
Both players are in contention to return at Turf Moor along with playmaker Samir Nasri, another who was left out against Leicester.
City trail Chelsea at the top of the table by five points and have played a game more
They have little room for error and this weekend face a battling Burnley side that held them to a 2-2 draw at Eastlands in December.
Pellegrini said: "Burnley are a very good team
They always play as an offensive team and try to win so we must work very hard."
Further speculation this week has seen two of Pellegrini's players, key midfielder Yaya Toure and striker Stevan Jovetic, linked with Inter Milan, who are now managed by Mancini.
With regards to Toure, Mancini has even been quoted suggesting the Ivory Coast international might like to try Serie A.
But Pellegrini said: "I don't know how he (Mancini) has so much information about the players.
"Stevan Jovetic, the same as me, has a contract here and there has been so much news about Yaya from the beginning of the year.
"Maybe everyone would like to have Yaya in their squad but he has a contract here, he is happy here and he will continue here."
Source : PA
Source: PA