I would do the opposite - start low, add weight every week and focus on form. If you don't have someone to lift with, post videos here for form checks. I started LBBS (Low Bar Back Squat) at 140 pounds and got up to 265 3x5 on SS when I got with a coach. Lo and behold, I was high AF and had to reset at 215#. You're better off reaping the benefits of good form than just moving the weight in a sloppy manner.
This depends on your commitment to the program. If you eat enough and sleep enough and do it intelligently, you can milk LP for 16-20 weeks. You won't be able to add ten pounds to your squat and deadlift every workout for that long, but if you rest well, eat well, and use micro loading (less than ten pounds when it gets heavy), you can expect to add significant weight to your lifts barring injury.
Another issue you need to confront is your tolerance for gaining fat. If you eat enough to continue LP, you will gain some fat. If your goals are strictly strength, then good for you and rock on.
If you have issues with gaining fat, you'll cut your LP short.
I went from 183 to 197 in twelve weeks, and I looked pretty good at 6'1" and 197. My BIA scale had me at 15.7% body fat, up from 13.5%, but I was probably more like 18.5%, up from 15%, and that's why I quit. I really wanted to get to a 1000 pound total, which isn't shit, but I couldn't handle being fat because I used to be really fat, so I started cutting, which doesn't work with SS.
But, I started at 140 squat, admittedly low and low on purpose, and finished at 265 - still low, but good gains.
My bench went from 145-195 for 3x5, my OHP went from 95 to 135, and my DL went from 155 to 275. I did hit a three plate DL a few weeks ago, albeit with shitty form.
My weight went from 183 to 197, BF from 13.5 to 15.7 (most likely inaccurate).
That's my experience on SS. I loved it.
Cutting now, average weight and bf last week were email@example.com%. Lifts are way down but that's because I quit TRT twelve weeks ago.
Good luck man!
Edit: I have pictures if you want to see the changes - they weren't that great because a lot of initial strength comes from CNS rather than from hypertrophy.