I dunno. Not all PSI are the same, monkeyboy.
I advised against it but I don't necessarily think the baseline pressure is the problem.
The 7.62x51 NATO spec is so old its pressure was measured using copper crush plugs, and is actually 50,000 CUP, not PSI. A long time ago people considered CUP and PSI interchangeable units but that hasn't been the case since technology offered us more accurate measurement devices (piezo strain gauges).
Conversely, the SAAMI spec for .308 Winchester, while it says 62,000 PSI, also says that 62,000PSI is equivalent to 52,000 CUP. So while it's a little higher, its not catastrophically higher. Which matches the relative ballistic data we already know between the two cartridges: If .308 were 20% higher pressure than 7.62x51, it would have dramatically higher velocities. But it doesn't, so we can conclude that the chamber pressure is only very moderately higher.
I've found this to be the most informative resource I've ever read on the topic:
If you dont feel like reading it all, the basic gist of it boils down to headspace and case wall thickness.