Michael Duff admitted Wright faces a lengthy spell on the sidelines – having already been missing since the first game of the season.
And Josh Neufville is also a few weeks away to leave the Bantams two wing-backs down.
Duff said: “Tyreik’s quite a long way away. I think you’re looking into the new year with him.
“With Josh, it’s probably the middle of next month. I’d imagine it will be another four weeks.
“That doesn’t help because they are two potent attacking threats. Those two being fit makes you more of an attacking unit.
“That’s no slight on the people who are playing there at the minute. But I’m not speaking out of turn saying that they are two very good attacking players.
“I’ll being relying on the experts to do their job and put them in at the right point.”
Wright tore his quad in the opening week of the campaign – and then suffered a setback when he was allowed back on the grass recently.
Neufville picked up a hamstring injury at Luton in Graham Alexander’s final league game.
But Duff reported a clean bill of health from Saturday’s draw with Leyton Orient.