You'll need a minimum of 6.2" between the back of the ocular lens housing and the back of the objective lens housing. This is with rings that have .625" or LESS width bands.
The wider the ring bands, the LESS room you have to work with, so don't get those super duper sniper 1" wide banded rings. lol
And 6.2" will BARELY do it, if you need more rearward movement to obtain good eye (proper eye relief) you'll have to find a scope with more mounting room.
I do not have that particular scope on the self or I would test fit it to a long Savage but I do not think, IIRC that the Nikon Buckmaster 6453 will fit a long Savage, without using a rail.
Can you see the long cone shaped portion of the forward part of the scope that makes up the rearward part of the objective bell...?
This is the culprit, you need to find a scope with a short 'cone part' of the objective bell or simply a scope with a longer body.
Call some scope manufacturers and get dimensions on the units you would consider using.