Euan was red-carded for stamping on an opponent during the second half of Friday's Celtic League win over The Scarlets.
This means Euan will be unavailable until February 12 2005. It comes as a blow to Glasgow and Euan, as he has only just returned from injury and now faces another lay-off of 12 weeks.
An appeal will be made.
With Lee Harrison still out, Glasgow have called up Eric Milligan from Glasgow Hawks, as cover for the prop berth for the match with Leinster tonight.