The Canaries secured their place in the top flight after a six-year absence with the 1-0 win at Portsmouth on Monday, their second promotion in two years after they were crowned npower League One champions last season.
City can now look forward to facing the likes of Manchester United, Chelsea and Arsenal next season, but despite being due an initial ?42million payment from the Premier League, McNally says any money received will be spent wisely.
He told Sky Sports News: "We don't have a wealthy, a seriously wealthy, benefactor and I say that with the greatest respect to Delia (Smith) who has put ?12million of her own money into the football club.
"If it's not there we won't spend it. We have a duty to the supporters of this club to ensure that there is a club here for the next one, five, 10, 100 years, so we won't gamble with the club's future."
Norwich manager Paul Lambert agrees with McNally and is not looking to completely overhaul his squad. He said: "We need a few, don't get me wrong. If we get the right ones in and they bond together and gel together, we'll see what happens."
Source: PA
Source: PA