The Argentina international has two years left on his contract at St James's Park and wants to stay on Tyneside after becoming a firm favourite in his three years at the club.
He is Newcastle's only ever-present in the Barclays Premier League this season.
But after Joey Barton and Jose Enrique delayed signing and even discussing their contract extensions amid concerns over the Newcastle board's search for Carroll's replacement, and other significant signings, Gutierrez admitted he is also waiting to see developments in the transfer market this summer.
Warning: Gutierrez (centre) has urged Newcastle to spend in the close season
The winger said: 'I am happy here, and yes I do want to stay. My family is happy as well.
'The only issue is that the club has to decide what it wants to do next season. We do not want to be back in a position where we have problems with relegation.
'We are in a good position at the moment, with the players to make a strong team, but we need to add a few more to make sure we continue to move forward. That is the key.
'We are all part of a group, and it is important that group stays together. Sometimes, things happen that mean it is very difficult for a player to stay. Look at Andy Carroll in January - ?35million, Liverpool, that is difficult for the club and the player to turn down.
'But in general, I want all of the players at this club to stay. That will make it much easier for the team to be strong next season.'
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Explore more:People: Mike Ashley, Jonas Gutierrez, Joey Barton, Andy Carroll Places: Newcastle, Liverpool, Argentina