The Republic of Ireland international will undergo surgery on a hernia injury on Tuesday which will rule him out of the Boys in Green's World Cup qualification double-header
The 21-year-old, who leads the newly promoted side's scoring charts with three league goals, has been carrying the problem for a number of weeks and Hull have fast-tracked the operation rather than wait until the international break.
"Robbie decided that he couldn’t really continue to play with the pain he was having," Rob Price, Hull's Head of Medical Services, told the club's official website.
"We’re hopeful that he will be back playing sometime within around four weeks.
"Robbie’s obviously disappointed to be missing games, both for us and at international level. But, we only look at surgery when it suits the condition of the player rather than looking at which games are coming up."
As a result, Republic of Ireland interim manager Noel King will not be able to call upon Brady for the forthcoming World Cup qualification games against Germany and Kazakhstan in October.
Stoke City striker Jonathan Walters, meanwhile, has also emerged as a doubt for the Boys in Green as he picked up a groin injury over the weekend.
The Football Association of Ireland this afternoon confirmed that Brady would miss the World Cup qualifiers, but stated that Walters remains in contention following a scan. The striker's status will be monitored by Noel King and his management team ahead of the international fixtures to ensure he is fit to play for Ireland.
The Republic of Ireland take on Germany in Cologne on October 11, with Kazakhstan visiting the Aviva Stadium four days later.