The 23-year-old is yet to play a single game under the German's rule at the Merseyside club after rupturing his anterior cruciate ligament in one of the former Borussia Dortmund manager's very first training sessions.
Reds fans should not get too carried away, however, as it is believed that the former Burnley striker has only started doing some outdoor running.
Ings had scored three goals in his first eight appearances in all competitions for his new club before suffering the injury which is expected to prevent him playing again this season.
Klopp will be keen to be able to get a first proper look at the striker, who won his first cap for the England senior side just three days before being ruled out, when he is eventually able to return to full training.
Between them, Liverpool's four senior out-and-out strikers - Christian Benteke, Daniel Sturridge, Divock Origi, and Ings - have scored just 13 Premier League goals this season, with Roberto Firmino adding another six from attacking midfield.
Liverpool are currently eighth in the Premier League table.