Ings, who missed most of last season with a serious knee injury, came on at half-time as Klopp field two separate XIs and scored a 79th minute winner.
Klopp has backed Ings to make an impact and hit the goal trail next season.
But he has warned the 23-year-old to avoid putting too much pressure on himself.
“Danny, with his qualities, will score goals in the future,” Klopp added. “It’s a special day today, but there will be more.