A video posted online appeared to show the player sitting in traffic as a number of people, including children, gathered near his car before he drove off.
While the incident seemed fairly innocuous, the Reds have made an official statement regarding the ordeal that has since surfaced on social media.
"The club, after discussion with the player, have made Merseyside Police aware of the footage and the circumstances surrounding its capture," a Liverpool FC spokesman said.
"We have spoken to the player also and will deal with any follow-up internally.
"Neither the club or player will be making any further comment on this matter."
Merseyside Police said: "We have been made aware of a video believed to show a footballer using a mobile phone whilst driving.
"This has been passed to the relevant department. Thanks for letting us know."
Liverpool striker Mo Salah has been referred to the police by his club after he was apparently filmed using a mobile phone at the wheel of his car. pic.twitter.com/dLxO0AiLfj— BBC North West (@BBCNWT) August 13, 2018