diff --git a/lib/subsetFonts.js b/lib/subsetFonts.js
index 30f88e42..5c7124f1 100644
--- a/lib/subsetFonts.js
+++ b/lib/subsetFonts.js
@@ -644,10 +644,6 @@ async function subsetFonts(
     ],
   };
 
-  // Keep track of the injected CSS assets that should eventually be minified
-  // Minifying them along the way currently doesn't work because some of the
-  // manipulation is sensitive to the exact text contents. We should fix that.
-  const subsetFontsToBeMinified = new Set();
   const fontFaceDeclarationsByHtmlOrSvgAsset = new Map();
   const potentiallyOrphanedAssets = new Set();
 
@@ -1021,7 +1017,7 @@ These glyphs are used on your site, but they don't exist in the font you applied
       text: subsetCssText,
     });
 
-    subsetFontsToBeMinified.add(cssAsset);
+    await cssAsset.minify();
 
     for (const [i, fontRelation] of cssAsset.outgoingRelations.entries()) {
       const fontAsset = fontRelation.to;
@@ -1091,7 +1087,6 @@ These glyphs are used on your site, but they don't exist in the font you applied
     const existingCssAsset = assetGraph.findAssets({ url: cssAssetUrl })[0];
     if (existingCssAsset) {
       assetGraph.removeAsset(cssAsset);
-      subsetFontsToBeMinified.delete(cssAsset);
       cssAsset = existingCssAsset;
     } else {
       cssAsset.url = cssAssetUrl;
@@ -1226,7 +1221,7 @@ These glyphs are used on your site, but they don't exist in the font you applied
         assetGraph.removeAsset(cssAsset);
         cssAsset = existingCssAsset;
       } else {
-        subsetFontsToBeMinified.add(cssAsset);
+        await cssAsset.minify();
         cssAsset.url = cssAssetUrl;
       }
 
@@ -1311,7 +1306,7 @@ These glyphs are used on your site, but they don't exist in the font you applied
                 formats,
                 hrefType
               );
-            subsetFontsToBeMinified.add(selfHostedGoogleFontsCssAsset);
+            await selfHostedGoogleFontsCssAsset.minify();
             selfHostedGoogleCssByUrl.set(
               googleFontStylesheetRelation.to.url,
               selfHostedGoogleFontsCssAsset
@@ -1492,11 +1487,6 @@ These glyphs are used on your site, but they don't exist in the font you applied
     }
   }
 
-  // This is a bit awkward now, but if it's done sooner, it breaks the CSS source regexping:
-  for (const cssAsset of subsetFontsToBeMinified) {
-    await cssAsset.minify();
-  }
-
   await assetGraph.serializeSourceMaps(undefined, {
     type: 'Css',
     outgoingRelations: {