It is thought Celtic could sign the midfielder on loan for the remainder of the season before thrashing out a permanent deal.
Damour has barely featured for the Ligue 2 side this season and is reportedly keen on a move in order to secure first-team football.
"Celtic are very interested in me and have watched me several times," revealed Damour.
"They need to take a look at me and judge my fitness and condition.
"I understand that as I have hardly played with the first team this season."