What height AAL is the visual reference acquired?
What is the groundspeed?
What kind of aircraft?
If you're high enough, an increase in RoD to capture the appropriate profile might be possible, followed by a reduction rather than keeping it the same all the way to the ground.
If the GS is 120kts, at 1,000fpm you're not far off a 5deg GS - not what most would call stable, unless it's an approach into LCY. At 160kts, it's just over 3.5degs, on the edge of one red three whites territory.
A turboprop with rapid response to power demands and plenty of drag when the power is taken off is very different to a slippery jet with high-bypass engines. Also, the potential is there for a) a heavy landing, due to the high RoD and low power/lack of response or b) landing deep due overcompensating and flaring too high.
Either way, you're adding risk at a critical stage of flight. As a 'heavy' driver, if I had already passed the point at which stable approached criteria were assessed and maintained, in IMC, then became visual with four whites, I would go-around.