diff --git a/public/style.css b/public/style.css
index b419d96a..e865b785 100644
--- a/public/style.css
+++ b/public/style.css
@@ -2650,9 +2650,14 @@ button.ch-item:hover .ch-icon-btn { opacity: 1; }
    into an unreadable single line spanning the whole map. Wrap it onto
    multiple lines instead. Width is in ch (character-relative) rather
    than px so the box scales with font-size -- a fixed px width left
-   room for barely one word per line at larger text sizes. */
+   room for barely one word per line at larger text sizes. The
+   tooltip's containing pane has no intrinsic width, so a plain
+   width:auto block collapses to min-content (one word per line,
+   ignoring max-width entirely) -- width:max-content makes it size to
+   its content up to max-width instead. */
 .leaflet-tooltip.packet-path-tooltip {
   white-space: normal;
+  width: max-content;
   max-width: 28ch;
 }