The 18-year-old was made captain of the U23s for 2019-20 by Neil Critchley and U18s boss Lewtas has followed suit by handing him the armband at U19 level.
Jones is set to be a key figure for the Reds as they head to Belgium on Wednesday afternoon to face a Genk side who have also started well in the Youth League.
After a 1-1 draw with Salzburg in their opening game, Genk then beat Napoli 3-1 last time out - and Lewtas is under no illusions as to the task his team face.
Liverpool have also collected four points - they followed up a 1-1 draw at Napoli by overcoming a tricky test to eventually beat Salzburg 4-2 - but the manager wants an improvement in their overall performance.