The 26-year-old made his first competitive start for the Reds since April 2018 during Wednesday's UEFA Super Cup showpiece with Chelsea in Istanbul.
Although he was withdrawn at half-time for Roberto Firmino, Klopp was encouraged by what he saw from Oxlade-Chamberlain's outing as a left-sided forward at Besiktas Park.
Speaking during a press conference on Friday to preview the upcoming trip to Southampton, the boss said: "It was positive, physically especially.
"We all know Ox, with the potential that he has, can have much more impact in that game, but it's normal after a long period.