Frazier didn't provide an exact timetable for Rudolph's return, but the tight end offered a timetable of his own to NFL report Jay Glazer.
He suffered the injury on a 31-yard touchdown reception in the third quarter of Minnesota's 27-23 loss to the Cowboys on Sunday.
Rudolph has 30 receptions for 313 yards and three touchdowns this season. He went to the Pro Bowl in 2012 -- where he earned MVP honors -- after catching 53 balls for 493 yards and nine touchdowns.
The Star Tribune has a full report on Vikings injuries, including those of cornerback Xavier Rhodes and right tackle Phil Loadholt.