SE models were updated to the 6020 series one year later than the more expensive models. The differences to the Premium models were again smaller than before. The exterior looked the same as on the Premiums, and the entire hood tilted up as a single piece, although on the SE models the exhaust pipe was still mounted on the side of the hood. The cab was noticeably simpler, but the noise level had dropped to 75 decibels. A 2.5 m-high LowProfile version of the cab was also available. The SE lineup initially included five 4-cylinder models and the 6-cylinder 6520 SE. For 2004, the 6620 SE was added as well. During 2003, the engines received an electronic injection pump. The power and torque figures for these models are shown in parentheses. At this point, the Premium models received new common-rail engines whose performance figures were clearly ahead of those of the SE models.

The transmission was a 16+16 gearbox. An oil-immersed PermaClutch 2 clutch and a 4-speed PowrQuad quick-shift unit were standard on the models imported to Finland. A cable-operated reverser lever was always positioned on the left behind the steering wheel. The production program also included 12+4 and 16+16 transmissions without the quick-shift feature. For 2004, the 6-cylinder models received a 24+24 gearbox. The hydraulic system was based on a gear pump whose capacity had been increased to 63 liters per minute, and the hydraulic valves were load-sensing.

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