Model 12 lrp (Barrel not centered in stock)

[benchrest]

Hey guy's I just picked up another model 12 lrp that I purchased at a gun auction, chambered in 6.5cm. Rifle looks good so far except the barrel is not centered in the HS precision stock. When I remove the bolt's , I can roll the action/barrel & it goes center until I install & tighten the bolt's. It keeps pulling to the left side of the barrel channel.
Although it's not touching, has anyone else had this issue ? Any thought's or suggestion's would be very much appreciated. It is all bone stock original & has not been bedded yet. Got a smoken deal on this gun so I don't mind investing a bit more cash into it... Think it's gonna make a great target rifle for my teenage boy, so he will leave mine alone.


Thanks in advance.