I would be very careful. I think the Tikka barrels are button cut. We do handle a lot of barrel work. We do not do the work ourselves, but send to really talented barrel smiths. I have come to learn, over the years that there is a lot more than meets the eye. Usually, there is not a problem cutting a barrel, but with buttoned cut barrels, you have to worry about lack of concentricity when you cut. We assume the risk, as it is usually part of a production run, and we get maybe one out of 15 or 20 barrels that fail upon cut.
That's not bad. 5% to 8% of button cut barrels fail when cut. Unless it is your barrel. When it is 20 barrels and you lose one, it is statistics. The actual rifle cutting of a barrel will cause the bore to have some weaving and moving like a snake. The better the barrel blank maker, the more uniform the bore, but there is still likely to be some movement out of center, and it is usually small enough that as long as the muzzle is concentric, nothing is lost, as the bullet travels the route at which it leaves the barrel.
Now, if you happen to cut where the bore moves a little to the right, then your muzzle will have a bore hole that is no longer in the middle of the barrel. At this point, you have three choices. 1) use it, and realize that you might have some natural veering of the bullet to the right. You can correct, probably with windage on your scope. But, will you clear your suppressor without a baffle strike? Maybe yes, maybe no. 2) take another cut. These deviations tend to meander, and if you take another cut 2" back, you might be fully concentric. Now, your barrel is a little shorter, or 3) abort, and buy a new barrel.
Now, if you go into this venture understanding the risk, and accepting that you have (if I am anywhere near accurate for Tikka, for which I have no experience cutting) a 1:15 or maybe 1:25 chance, you can try it, and if you have to abort, you have tried it. Most likely, you will be successful, and you have a great barrel with less price than a new barrel.
What would I do? I would cut it an inch longer than I might want, and see how that goes. If all is fine, I might keep it there, or I might go to the length I want, and understand that there is some small chance that i will have to buy a new barrel.
In any case, I would use a bore guide with the suppressor on to test before using.
