Make the upgraded stasis bed slowly stabilize the person on it.
It’d be complex but what if you could have it automatically inject a small dose of a specific chemical? Like a sleeper but it works automatically, always 10u and only one holder. You could have it apply sterilizer, honey or even things like Oxandrocyclic (oxandrolone + salicyclic acid) automatically on the person. Could somwhat get self treatment then if you make it outside medbay. Could also be used to harmfully inject people with lethal drugs. Put in some lexorin-sulfonal and knock 'em out on the stasis! Or put in morphine and use it for actual surgery!