This Is North Scotland claims that Micky Adams watched the 25 year old on Saturday. McNamee has a clause in his contract that he can leave if a club pays a certain fee for him and Aberdeen and Hibernian are also reported as being interested.
Livi boss John Robertson said: "David has been linked with a few clubs. Aberdeen and Hibs are both interested and Coventry had their manager here at the weekend.
"He's an international so he is bound to attract attention. We'll wait and see, but if they want him they'll have to come in and buy him. If not, he will be with us next season."