Allen was one of several starters that was either injured in practice or limited because of injuries, joining safety Harrison Smith (knee) and linebacker Erin Henderson (groin soreness).
Frazier said Allen wouldn't have played in Friday's preseason opener against the Houston Texans anyway, but the head coach is holding out until after Wednesday's practice before he decides who else will be held out.
Allen was taken to the trainer's tent after the injury, which occurred in full-team drills, and limped his way to the locker room with a wrap around the ankle after practice.
Last year, Allen played in 93 percent of the team's defensive snaps, and he carries the largest base salary ($14.28 million) and salary cap number ($17.06 million) on the team.
"We'll look them over and determine whether or not we need to do an MRI," Frazier said of Smith and Allen's injuries.
Smith left practice after twisting his knee and Henderson has been mostly practicing through a groin injury for the last several days.
"It doesn't seem (that bad) just watching him move around, but you never know," Frazier said of Smith's injury. "They just said they're going to check it out to make sure."
Frazier anticipates Henderson practicing on Wednesday.
The Vikings were also missing first-round cornerback Xavier Rhodes (hamstring), weakside linebacker Desmond Bishop (groin), cornerback A.J. Jefferson (ankle) and defensive tackle Christian Ballard (groin).
"We'll see how those guys progress in the next 24 hours and see if we'll give them a shot in the ballgame Friday night," Frazier said.
"I think having signed Stanford will help us from a depth standpoint. We were lacking without Nate being able to practice, but I think having another body to practice, that helps our depth a little bit from a practice standpoint," Frazier said.
"It will be a process. That will be something we'll have to talk with his agent about and determine how this is going to go, but we'll come to a conclusion on that," Frazier said.
Tim Yotter is the publisher of Viking Update. Follow Viking Update on Twitter and discuss this topic on our message boards. To become a subscriber to the Viking Update web site or magazine, click here.