Levelling thermoplastic tiles for self adhesive vinyl planks

I want lay self adhesive vinyl planks in a small bathroom which has a concrete floor covered in 9 inch thermoplastic tiles.

The thermoplastic tiles are slightly broken around the edges due to carpet grippers having been nailed in. I know that the thermoplastic tiles are likely to contain asbestos, as well as possibly the bitumen with which they are glued down, so would prefer not to remove the thermoplastic tiles as some posts suggest. (I hear the bitumen is a utter pain to remove anyway).

So, how can I make the tiles smooth round the edges before laying my self adhesive vinyl planks? An added complication is that the planks I was aiming for from B&Q say for some reason that they shouldn't be laid onto thermoplastic tiles! However planks from other stores do not mention this.

I know nothing about floor levelling compounds, and would prefer something which doesn't take too long to install. When I've used these planks previously I've had floorboards so simply screwed sheets of plywood down first to make it smooth.

Some posts mention DPM, but I don't know if this is an issue or how to find out if there is one. It's a ground floor bathroom.

Thanks very much for your advice!

Well lazy-daisy you appear to have dismissed the best solutions, there is no quick fix.

I've always previously found this community friendly, helpful and polite. I'm sorry to find that's not always the case, but I'm sure there are some others out there who will be willing to help.

To clarify, in case there's any misunderstanding, when I say I know nothing about levelling compounds etc, I am of course willing to learn, otherwise I wouldn't be asking on this site! My level of DIY is practical householder, so there is lots I don't have experience or knowledge of.

Please can anyone else help?

You could lay Jumpax over the top of the tiles. Have a look at YouTube for some videos. Then tiles on top.

Or take tiles up. Remove Adheisve. 2 coats liquid dpm , prime and screeding compound.

Thanks Dazlight, jumpax sounds like it's been made for the purpose!

F-Ball Isolator Membrane is also ideal.