"Case is still clearly ahead," Rams head coach Jeff Fisher said. "Jared's getting better."
Goff is unlikely to play with the first team this week and left the preseason opener early after taking a hit on his shoulder. The opportunity exists for Keenum to widen his advantage and be the starter on "Monday Night Football" on Sept. 12, when the Rams play the San Francisco 49ers.
Goff would be the first No. 1 pick of the past six taken in that spot not to start the regular-season opener at quarterback.
Rookie wide receiver Pharoh Cooper said he sees the competition getting stronger with Goff and third-string quarterback Sean Mannion pushing Keenum.
"(Goff is) growing up, starting to embrace the role of being the starting quarterback, of trying to be the starting quarterback, competing with Case," he said.