Eustace will have his hearing on Wednesday after being cited for an alleged offence in Gloucester's 29-11 win over Harlequins on April 26, while Vickery's citing came in their narrow defeat to Leeds on May 4.
No date has yet been set for Vickery's case, but coach Nigel Melville is hoping that the England prop's hearing can be squeezed in with that of Eustace on Wednesday, to achieve a swift result.
"Vicks [Vickery] has been cited for an alleged stamp," Melville told the Gloucester Citizen.
"It would be a major blow if we got him back and then got him banned."
Gloucester, who topped the regular season table by 15 points, face either London Wasps or Northampton Saints in the one-off Twickenham Final, which will decide the official champion of the season, the first time that the system has been used to determine the domestic top dogs.
The 'Cherry and Whites' already have prop Chris Fortey ruled out of the Twickenham clash, having been given a 12-week ban for use of the boot against Newcastle Falcons recently.