The 22-year-old showed up last season as the Tigers won advancement back to the Premier League through the play-offs.
The ex-Leyton Orient and Brentford shield endured the damage in a pre-season inviting against Grimsby Town.
In the interim, the club have affirmed they have taken previous Stoke City forward Peter Odemwingie, 35, on trial.
The Nigeria worldwide, who could include for Steve Bruce’s side in an inviting with Mansfield on Tuesday, is a free specialist subsequent to being discharged by the Potters toward the end of last season.
He finished the battle on advance at Championship side Bristol City in the wake of recuperating from a long haul knee damage.
Odubajo’s harm has decreased Hull to only 14 fit senior outfield players with under four weeks until they have Premier League champions Leicester City on the opening day of the season.