Nyorai mberi kweiyi ndima - Lambert akasarudzwa 106th yose neQuebec Nordiques mu1989 NHL Entry Draft
. Kubva muna 1990 kusvika muna 1992, Lambert akapatsanura nguva yake pakati peFort Wayne Komets yeInternational Hockey League, Halifax Citadels yeAmerican Hockey League, uye Nordiques. Akatamba mitambo 29 yose yeNordiques, achiwana mapoinzi gumi nemashanu. MunaJune 1992, Lambert akatengeswa kuWinnipeg Jets uye akapedza mwaka wese wa1992-93 neMoncton Hawks, yavo AHL yakabatana. Lambert haana kutamba mutambo muNHL mwaka iwoyo uye akasarudza kuenda kunotamba muFinland mushure memwaka wapera. Akatamba mitambo 13 chete ikoko asati adzokera kuNorth America kunotamba Komets muna 1993-94.