The Cardinals are "still gathering" how long this will sideline the veteran running back, according to Glazer.
Cardinals coach Bruce Arians said earlier in the day it was a bruised knee, but MRI results on Johnson weren't available then.
Johnson is in the midst of a strong comeback year after signing with Arizona late in training camp. He is fourth in the NFL in rushing with 814 yards.
His backup, Andre Ellington, also was hurt in the game. Arians says Ellington has turf toe.
Without Johnson and Ellington, rookie David Johnson would move into the No. 1 running back spot, the story said. David Johnson scored Arizona's first touchdown in Sunday's 19-13 victory with a 5-yard run. The rookie leads the team with eight touchdowns, but has had trouble holding onto the ball at times. If Ellington is able to go, it would likely cut into David Johnson's workload, especially in the passing game, but it's very possible David Johnson could still get enough early down work.