What model Linn deck/arm (many were paired with low mass arms)?
Off the top of my head AT and Ortofon have current model high compliance offerings and, and hopefully others will chime in with current production choices.
I use an old Grado Silver on my SME 3009 (non-improved) which has an effective mass of around 12-13 and it's fine.
Start by finding the spec's (effective mass) on your TP11 and also positively ID the specific TP11 model via online photos.
Then go from there.