Here are your parts
Replacement parts for Roper RAS8333PQ0 AUTOMATIC WASHER | AppliancePartsPros.comCould be that it is overfilling.
This would be due to a bad water level switch or a leak in the pressure hose or a water valve that is closing too slow.
I would check the pressure hose first as you said it is getting worse.
If you click on a parts picture a new page will open with more views, info, a Q&A section and sometimes a video .
If you click on the coupler Item 13 in section 3 it shows how to open the unit up.
So I would run a load using cold/cold, then if it leaks open the unit up and try to find the leak point.
The reason I suggest cold/cold is that you do not want the leak water to evaporate off due to the heat.
Below is my usual blurb on the water level switch just in case it is overfilling.
This switch is actually a pressure switch. It has a tube that runs down to the bottom of the tub, as water fills the tub, air is trapped in the tube. As the water rises, the air pressure in the tube increases until it reaches the switch's set point then the switch activates turning off the water and starting the agitate.
Possible problems.
1. Gunk blocking water from entering the tube. Remove the tube at the switch and blow into it to clear the plug.
2. Cracks or holes in the tube allowing the air to escape. Inspect the tube. Also check that it is tight on the switch, if not, cut off half an inch and re-seat it.
3. The switch is toast. Get a piece of tubing with the same internal diameter and attach this to the switch. Start a fill, then blow into the tube. You should be able to stop the water flow without blowing very hard.
If you cannot stop it the switch is toast.
Note: That you may be able to stop it by blowing into then tubing and it may still be no good as it needs too much pressure to activate the switch.
So iof the tubing is OK replace the switch.
Note: I am assuming that you can stop the water flow by unplugging or turning off the unit.
If the only way to stop it is to shut off the taps your water valve is shot.