Tetevano was sent-off early in the second half of last Saturday’s 26-18 Betfred Challenge Cup defeat at St Helens following an alleged late hit on Theo Fages.
He was charged by the RFL’s match review panel with a grade D offence and the disciplinary committee on Tuesday issued a four-game ban, one short of the maximum penalty.
That rules him out of Thursday’s home game against Wigan Warriors, trips to Hull KR and Huddersfield Giants and a derby against Wakefield Trinity at Emerald Headingley.
The next game he is available to play in is at home to Hull on Sunday, May 23.
Tetevano pleaded guilty, but challenged the grading.
The panel upheld the D grade and also fined Tetevano - who has played only three games since joining Leeds from Penrith Panthers in the off-season - £500.
The decision is a setback for Rhinos who were without 12 senior players for the tie at Saints.
Wigan will be without Liam Byrne who accepted a one-match suspension for dangerous contact against York City Knights last Friday.
Wakefield Trinity’s Kelepi Tanginoa accepted a one-match suspension for a high tackle in Saturday’s Cup defeat by Catalans Dragons and will miss Friday’s game at St Helens.
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