The North London pub was badly damaged by a fire last weekend, and lost several items of rock history to the flames.
According to the Daily Star, Moss will gift the establishment a Sid Vicious painting, Primal Scream gold discs and a signed guitar from her boyfriend Jamie Hince.
Charred remains from The Hawley are currently being stored at its sister pub The Wilmington in Farringdon.
Landlady Ruth Mottram said: "We’ll create a wall with rock memorabilia from The Hawley to keep the spirit alive.”
XFM DJ Alex Zane has agreed to host his radio show from The Hawley Arms when it reopens later in the year.