The ex-England Under-21 midfielder, who has spent his entire career at Upton Park aside from two loan spells, is described by the London club’s vice-chairman as "a proper Hammer"
The 25-year-old has risen through the ranks at the Hammers and - two brief loan periods aside - has spent his whole career at Upton Park.
West Ham bounced back from Premier League relegation at the first attempt with a play-off final triumph in May and Brady has praised Noble for his contribution to the club.
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"Noble is a proper Hammer, practically born and certainly bred by the club, and I'm really pleased he's about to sign a new contract," the London club's chief told The Sun.
"He's 25 and already played 190 games for us so there has to be a chance of him hitting as many as 500 one day.
"Mark's a fine midfielder but much more because he's a giver as well as a taker, always prepared to put himself out, happy to help with anything that connects to the club and our fans.
"Old-fashioned, I suppose, and I can think of no greater praise."
The Hammers host winless Sunderland this weekend having won two, drawn once and lost once in their opening four league matches.