The 24-year-old has not featured for the Bantams since suffering the injury in the goalless draw at Rochdale on October 2.
Manager Phil Parkinson initially revealed that Reid would be out for six weeks due to suffering a slight tear but further checks have now led to the timescale being extended.
He said: “Kyel is still going to be a while off yet unfortunately. The specialist feels it is going to be more like 10 weeks out rather than six.
“Gary Jones is also still going to be a few weeks off a return as well.
“People are talking about us bringing someone in now (on loan), that might well happen. But we won’t do it for the sake of it.
“It has to be the right person if we are to bring someone in. We will have a sit down this week and assess our options.
“The way Garry (Thompson) and Zavon (Hines) played when they came off the bench on Saturday (in the 1-1 draw with York City) though, we may already have the options within our squad.”
Bradford will join the rest of Yorkshire’s League One and Two representatives in discovering the identity of their FA Cup first round opponents this Sunday.
ITV will be screening the draw live from 1.30pm, a little under 24 hours after the fourth qualifying round will have got underway. The first round ties will be played over the weekend of November 3 and 4.
Meanwhile, another of the county’s representatives in the Cup first round have launched an investigation to the behaviour of their own fans at the weekend.
Supporters of Doncaster Rovers have been accused of “unruly behaviour” during their side’s 1-1 draw at Hartlepool United.
A club statement read: “Rovers officials are investigating fully the evidence of crowd disturbances which were witnessed at Hartlepool, and will not hesitate to action bans wherever appropriate.
“Individuals, supposedly ‘supporting’ the club, engaged in aggressive behaviour which has severely damaged the reputation which true Rovers’ fans have enjoyed over many years.”