Ideally he should go to another Premier League team. Huddersfield, with Wagner in charge, would be a good choice. The main problem with the player is his discipline - he's always on the verge of a booking, or worse, because his judgement is slightly off and he's impetuous. Loaning him to a lower league club, where far more is tolerated by referees, wouldn't help that much - he'll only come back still needing to learn what he can and cannot get away with in THIS league.
It's a good argument, but then what if he doesn't play every week at Huddersfield or another PL club?
I think at this stage Klopp is prepared to sacrifice PL adjustability with just him getting 90 minutes every week for 20 games.