He made his Glasgow Warriors debut in the opening match of the 2021 Rainbow Cup, coming off the bench away to Benetton following an early injury to Oli Kebble.
His Scotstoun debut then came a fortnight later, coming off the bench in a 29-19 win over Edinburgh.
The Scotland U20 prop made two appearances in the 2020 U20 Six Nations, representing his country against both England and Ireland.
Lambert has also previously represented Australia U19.
The Scotland U20 prop made two appearances in the 2020 U20 Six Nations, representing his country against both England and Ireland.
Lambert has also previously represented Australia U19.