Based on the MDN documentation this doesn\'t seem to be explicitly supported. So I tried it as follows in the linked code pen below. I know the nested
You can build it using multiple background:
.box {
--r:15px; /* radius */
--g:red,blue; /* gradient */
border-radius:var(--r);
padding:calc(var(--r) + 5px);
background:
/*corners*/
radial-gradient(farthest-side at bottom right,var(--g)) top left /var(--r) var(--r),
radial-gradient(farthest-side at top right,var(--g)) bottom left /var(--r) var(--r),
radial-gradient(farthest-side at bottom left ,var(--g)) top right/var(--r) var(--r),
radial-gradient(farthest-side at top left ,var(--g)) bottom right/var(--r) var(--r),
/* borders*/
linear-gradient(to top ,var(--g)) top /calc(100% - 2*var(--r)) var(--r),
linear-gradient(to bottom,var(--g)) bottom/calc(100% - 2*var(--r)) var(--r),
linear-gradient(to right ,var(--g)) right /var(--r) calc(100% - 2*var(--r)),
linear-gradient(to left ,var(--g)) left /var(--r) calc(100% - 2*var(--r));
background-repeat:no-repeat;
width:150px;
display:inline-block;
display:inline-block;
vertical-align:top;
font-size:25px;
}
<div class="box"> Some text inside</div>
<div class="box" style="--r:10px;--g:black,orange,grey"> more text inside</div>
<div class="box" style="--r:30px;--g:green,blue,yellow">Some text inside</div>
If you want inner radius you can adjust like below:
.box {
--r:10px; /* radius */
--g:red 0%,blue; /* gradient */
--rg:transparent 50%,var(--g);
border-radius:calc(2*var(--r));
padding:calc(2*var(--r) + 5px);
background:
/*corners*/
radial-gradient(farthest-side at bottom right,var(--rg)) top left /calc(2*var(--r)) calc(2*var(--r)),
radial-gradient(farthest-side at top right,var(--rg)) bottom left /calc(2*var(--r)) calc(2*var(--r)),
radial-gradient(farthest-side at bottom left ,var(--rg)) top right/calc(2*var(--r)) calc(2*var(--r)),
radial-gradient(farthest-side at top left ,var(--rg)) bottom right/calc(2*var(--r)) calc(2*var(--r)),
/* borders*/
linear-gradient(to top ,var(--g)) top /calc(100% - 4*var(--r)) var(--r),
linear-gradient(to bottom,var(--g)) bottom/calc(100% - 4*var(--r)) var(--r),
linear-gradient(to right ,var(--g)) right /var(--r) calc(100% - 4*var(--r)),
linear-gradient(to left ,var(--g)) left /var(--r) calc(100% - 4*var(--r));
background-repeat:no-repeat;
width:200px;
box-sizing:border-box;
display:inline-block;
vertical-align:top;
font-size:25px;
}
<div class="box"> Some text inside</div>
<div class="box" style="--r:8px;--g:black 0%,orange,grey"> more text inside</div>
<div class="box" style="--r:20px;--g:green 0%,blue,yellow">Some text inside</div>
Related question to get diffent gradient with radius: Border Gradient with Border Radius
I think you should use the border-image property and se it to a linear gradient and tweak until you have achieved what you want. After all css does treat linear-gradient() as an image. If you have an image of what you want to produce maybe I can help bring it to life. I hope this helps