White was handed a five-week suspension - back-dated to start on January 21 - after pleading guilty to throwing the punch during Leicester's 25-9 Heineken Cup win.
The experienced prop sat out last weekend's victory over Newcastle after being suspended by Leicester and he will also miss the Tigers' trips to Premiership leaders Gloucester, London Irish and the home game against Sale.
White's Leicester team-mates Andy Goode and Seru Rabeni also found themselves in hot water after being cited for dangerous tackles during Saturday's win against Newcastle.
Both players were cited for dangerous tackles - on Jonny Wilkinson and Jamie Noon respectively - and face a disciplinary hearing in London on February 5.
