In reply to Fraser:
> (In reply to jon)
>
> Is it lino or is it vinyl?
>
> Personally, I'd not glue it, but allow for expansion and contraction below the skirting, unless of course you're having a coved skirting detail. You'd be surprised how much vinyl in particular can shift and ripple with thermal variation.
The OP says there are no skirtings.
I must say, as I am reasonably handy/confident with an angle grinder, I might be tempted to cut a little groove allround the very bottom of the wall to push in a small overlap of lino in lieu of skirting, but it would be a dusty job.
I did a similar groove for some outside lead work, and it was straightforward if you have a steady hand.