Klopp was forced to withdraw Henderson 10 minutes from fulltime in the 3-1 win after a collision with Yves Bissouma but the German said the 30-year-old does not require surgery.
"It is the best possible of the bad news. He does not need surgery," Klopp told reporters in a virtual news conference.
The English champions move onto 92 points with three wins from their final four games enough to break Manchester City's record of 100 points from two seasons ago.
Goals from Alexander-Arnold, Mohamed Salah, Fabinho and Sadio Mane left Liverpool needing two points to secure their first English league title in 30 years.