Vital Heynen's men had looked to be out of the running for qualification when they lost their opening pair of games, before a thrilling five-set victory over Serbia on Thursday got them back in with a chance.
They backed that up with a 65-minute 25-15, 25-16, 25-16 display this morning, meaning they head into their final game against Brazil with every chance of progression.
The Serbia game looked to have taken its toll physically, and Germany kept play simple, finding their big men at the net and getting the job done.
Go-to-man Gyorgy Grozer did not have to work as hard as he did two days ago when he scored 39 points, settling for 11 today as the workload was shared around.
Denys Kaliberda top-scored with 13 points, with Tunisia's main man again the ever-impressive Hamza Nagga who returned 14.
The 22-year-old has been a bright spot for his side, who have no points and will wrap up their campaign against the United States on Monday.