diff --git a/plugins/axe-plugin/package.json b/plugins/axe-plugin/package.json
index 2b291a498..3bee295c3 100644
--- a/plugins/axe-plugin/package.json
+++ b/plugins/axe-plugin/package.json
@@ -54,7 +54,7 @@
   "peerDependencies": {
     "@component-controls/blocks": "*",
     "react": ">= 16.8.0",
-    "theme-ui": "next"
+    "theme-ui": ">= 0.4.0-rc.1"
   },
   "publishConfig": {
     "access": "public"
diff --git a/ui/app/package.json b/ui/app/package.json
index 582b333e2..83077c286 100644
--- a/ui/app/package.json
+++ b/ui/app/package.json
@@ -51,7 +51,7 @@
   "peerDependencies": {
     "react": ">= 16.8.0",
     "react-dom": ">= 16.8.0",
-    "theme-ui": "next"
+    "theme-ui": ">= 0.4.0-rc.1"
   },
   "publishConfig": {
     "access": "public"
diff --git a/ui/blocks/package.json b/ui/blocks/package.json
index 2922aeb52..ba4a33f91 100644
--- a/ui/blocks/package.json
+++ b/ui/blocks/package.json
@@ -68,7 +68,7 @@
     "react": ">= 16.8.0",
     "react-dom": ">= 16.8.0",
     "react-table": "7.x",
-    "theme-ui": "next"
+    "theme-ui": ">= 0.4.0-rc.1"
   },
   "publishConfig": {
     "access": "public"
diff --git a/ui/components/package.json b/ui/components/package.json
index b673adbe8..fbd9cf324 100644
--- a/ui/components/package.json
+++ b/ui/components/package.json
@@ -60,10 +60,10 @@
     "jest": "^24.9.0"
   },
   "peerDependencies": {
-    "@theme-ui/css": "next",
+    "@theme-ui/css": ">= 0.4.0-rc.1",
     "react": ">= 16.8.0",
     "react-dom": ">= 16.8.0",
-    "theme-ui": "next"
+    "theme-ui": ">= 0.4.0-rc.1"
   },
   "publishConfig": {
     "access": "public"