The England Under-21 international moved to Liverpool for a tribunal fee from defending Premier League champions Chelsea in the summer transfer window.
Solanke struggled to make an impression at the west London side and the teenager spent the 2016-17 season on loan at Dutch side Vitesse Arnhem.
The Liverpool summer signing helped the England side to win the Under-20 World Cup in the summer and Solanke was named the player of the tournament.
He scored three goals during Liverpool’s pre-season campaign to make an impression in his opening months as a Reds player before the start of the new campaign.
The 19-year-old striker is still waiting to make his first Premier League start after being limited to a string of substitute appearances so far.
Liverpool legend Dalglish is confident that Solanke will blossom into a good goal-scorer for the Merseyside outfit in the coming seasons.
“They have signed the young lad Solanke up front as well who’s only nineteen,” Dalglish told BetStars. “He might be a good goalscorer for Liverpool in the years to come.”
Liverpool will welcome Manchester United to Anfield in their next Premier League game on Saturday afternoon.
The Reds signed four players in the summer transfer window to improve their squad ahead of a return to the Champions League.
Kenny Dalglish has made the Big Call with online betting site BetStars. He is backing Liverpool to beat Man Utd 2-1. #CallIt at www.betstars.uk/sites/football/liverpool-manutd
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news