TV HDMI signal flickers when fridge compressor turns on

I've read that the voltage dip caused by a fridge's compressor turning on is causing my TV to flicker. It only happens when my TV is on an HDMI source.

Sometimes you can barely notice it, sometimes it goes black for a second then comes back on. A couple of times now it has caused the signal to completely bug out forcing me to turn the TV off and on again. It's a pretty old TV so I wouldn't be *too* bothered if it eventually broke but it would be nice to keep it running.

Is there any way I can solve this? I'm guessing a UPS would work but it's an expensive solution for a not that big of a deal issue. I'm also not able to put my fridge or TV on separate circuits. I've had no issues with any of my other electronics, including my monitor.