Gerrard was hit by missiles thrown from the Marseille fans' section as he waited to take a corner in the first half of Liverpool's 1-0 victory that took them into the last 16 of the Champions League.
A Liverpool spokesman said: "The UEFA delegate is aware of what happened to Steven and it is now in his hands."
A spokesman for UEFA at the game said: "The incident will be included in both the match delegate's report and the referee's report.
"UEFA are aware of what happened and any further comment will now come from them."
It is also believed UEFA are aware the missiles came from the Marseille fans' enclosure, and any action will not involve Liverpool.