The Scotland prop is currently with French Top 14 club Oyannax on a one year deal. The Rugby Paper claims Glasgow are keen to bring the British & Irish Lion to Scotstoun.
The former Edinburgh player spent last season with Ulster after he left Worcester Warriors when the entire squad had their contracts terminated due to the liquidation of the company that employed them.
Glasgow have also been linked with a move to bring Adam Hastings back to Scotstoun.