Is my OMLOPP compatible with the TRÅDFRI gateway?

Hi everyone!

Just today, I started looking at the possibility of upgrading my existing OMLOPP lights in my kitchen as part of exchanging almost all my other light bulbs with Philips Hue bulbs. I'm hoping to eventually integrate them all into the Hue app, including the OMLOPP lights.

Anyway, the thing is that I bought my lights several years ago, before the whole gateway thing existed (as far as I know, anyway). I'm not sure whether or not my lights (or more specifically, my power supply) are compatible. I use the old wireless ANSLUTA remote control with one button to control them as of now.

Here is a photo I took of my OMLOPP LED power supply: https://imgur.com/l1oiRqZ

Is it possible for me to simply get a TRÅDFRI gateway and sync this up, or is my power supply too old? If it is too old, can I replace it with a newer one without also replacing my lights?

I'd appreciate any help with this, because I can't find any information about this anywhere.