Liverpool have struggled for consistency in attacking positions this season due to injuries and poor form.
The Ukrainian has been linked with a whole host of Premier League clubs, including Arsenal and Everton, but his agent has sparked rumours following his upload of a video to social media outlet Instagram, which suggested a meeting took place between him and Liverpool officials.
The 26-year-old has scored 16 goals in 31 appearances for Kiev this term, and has helped his club build up a seven point lead at the top of the Ukrainian first division.
With Daniel Sturridge's fitness and Christian Benteke's poor form a concern for Jürgen Klopp, a new addition in the striking department would seemingly be a priority for the German.
The newspaper go on to report that a fee in the region of £25 million would be enough to tempt the Ukrainian club to sell.
Liverpool's need for additional firepower was highlighted in last night's 1-0 loss to Villarreal in their Europa League semi-final encounter. Yarmolenko has all the attributes needed to be successful in the Premier League and, if the move comes to fruition, it would be one that suits all parties involved.