Slug your bore and find out. Only easy way to tell.
Both my current 303's (P14 and Martini-Enfield) will shoot .308" bullets all day but the accuracy isn't great. I used to have a Lee Enfield with a ~.316" bore that would tumble anything under .311" (including .3105") and still shot like crap with .312" bullets. My current 303's shoot quite well with .312" jacketed but I haven't tried .310" in either one. My guess would be that unless you have an exceptionally tight bore those match .310" bullets will be largely a waste.