Lee injured his right knee in the Heineken Cup match against Toulouse at Hughenden, and he has now had an operation to repair ligament and cartilage damage.
"I'm aiming for late March or early April," Lee told Glasgow Warriors's official website this afternoon. His target is the Celtic League match against Cardiff Blues at Hughenden on Easter weekend (25-27 March) or the Stradey Park game against Llanelli Scarlets two weeks later.