Klinkhammer was reassigned to AHL Bakersfield on Tuesday.
Klinkhammer skated for 10:40 and racked up two penalty minutes and five hits in his return from the AHL affiliate Condors.
Klinkhammer was recalled by the Oilers on Tuesday.
Klinkhammer, who was activated from injured reserve Friday after dealing with an ankle injury, will be in the lineup against the Coyotes on Saturday.
Klinkhammer was activated off injured reserve Thursday.
Klinkhammer indicated in an interview Wednesday that he's close to rejoining the lineup.
Klinkhammer (ankle) will not be in the lineup Thursday when the Oilers face the Blackhawks on the road, nor is he likely to play against the Avalanche on Saturday.
Klinkhammer appeared to re-injure his ankle late in Tuesday's game, the Edmonton Sun's Derek Van Diest reports.
Klinkhammer (lower body) was activated from the Injured Reserve list on Tuesday.
Klinkhammer (lower body) isn't ready to rejoin the lineup yet, play-by-play announcer Jack Michaels reports.