diff --git a/packages/enzyme-matchers/package.json b/packages/enzyme-matchers/package.json
index 0616fde..14ac7eb 100644
--- a/packages/enzyme-matchers/package.json
+++ b/packages/enzyme-matchers/package.json
@@ -28,7 +28,7 @@
     "url": "https://github.com/FormidableLabs/enzyme-matchers/issues"
   },
   "peerDependencies": {
-    "enzyme": ">=3.4.0"
+    "enzyme": "^3.4.0"
   },
   "dependencies": {
     "circular-json-es6": "^2.0.1",
diff --git a/packages/jasmine-enzyme/package.json b/packages/jasmine-enzyme/package.json
index 53d74af..bac751e 100644
--- a/packages/jasmine-enzyme/package.json
+++ b/packages/jasmine-enzyme/package.json
@@ -44,7 +44,7 @@
     "enzyme"
   ],
   "peerDependencies": {
-    "enzyme": ">=3.4.0"
+    "enzyme": "^3.4.0"
   },
   "dependencies": {
     "enzyme-matchers": "^7.1.2"
@@ -66,6 +66,7 @@
     "verbose": true
   },
   "devDependencies": {
+    "enzyme": "^3.4.0",
     "jasmine": "^2.8.0",
     "jest-environment-enzyme": "^7.1.2",
     "jest-enzyme": "^7.1.2",
diff --git a/packages/jest-environment-enzyme/package.json b/packages/jest-environment-enzyme/package.json
index 17cd44d..41a6bba 100644
--- a/packages/jest-environment-enzyme/package.json
+++ b/packages/jest-environment-enzyme/package.json
@@ -41,12 +41,15 @@
     "url": "https://github.com/FormidableLabs/enzyme-matchers/issues"
   },
   "peerDependencies": {
-    "enzyme": "3.x",
-    "jest": ">=22.0.0",
-    "react": "^0.13.0 || ^0.14.0 || ^15.0.0 || >=16.x"
+    "enzyme": "^3.4.0",
+    "jest": "^22.0.0 || ^23.0.0 || ^24.0.0 || ^25.0.0",
+    "react": "^0.13.0 || ^0.14.0 || ^15.0.0 || ^16.0.0"
   },
   "devDependencies": {
-    "cpy-cli": "^2.0.0"
+    "cpy-cli": "^2.0.0",
+    "enzyme": "^3.4.0",
+    "jest": "^22.0.0 || ^23.0.0 || ^24.0.0 || ^25.0.0",
+    "react": "^0.13.0 || ^0.14.0 || ^15.0.0 || ^16.0.0"
   },
   "dependencies": {
     "jest-environment-jsdom": "^25.2.0"
diff --git a/packages/jest-enzyme/package.json b/packages/jest-enzyme/package.json
index 722fc92..e39c961 100644
--- a/packages/jest-enzyme/package.json
+++ b/packages/jest-enzyme/package.json
@@ -46,8 +46,8 @@
     "url": "https://github.com/FormidableLabs/enzyme-matchers/issues"
   },
   "peerDependencies": {
-    "enzyme": ">=3.4.0",
-    "jest": ">=22.0.0"
+    "enzyme": "^3.4.0",
+    "jest": "^22.0.0 || ^23.0.0 || ^24.0.0 || ^25.0.0"
   },
   "dependencies": {
     "enzyme-matchers": "^7.1.2",
@@ -57,7 +57,9 @@
   "devDependencies": {
     "@types/enzyme": "^3.1.11",
     "@types/react": "^16.0.10",
-    "cpy-cli": "^2.0.0"
+    "cpy-cli": "^2.0.0",
+    "enzyme": "^3.4.0",
+    "jest": "^22.0.0 || ^23.0.0 || ^24.0.0 || ^25.0.0"
   },
   "jest": {
     "transform": {
diff --git a/yarn.lock b/yarn.lock
index b28eea8..181d91d 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -5516,7 +5516,7 @@ jest-worker@^25.2.0:
     merge-stream "^2.0.0"
     supports-color "^7.0.0"
 
-jest@^25.2.0:
+"jest@^22.0.0 || ^23.0.0 || ^24.0.0 || ^25.0.0", jest@^25.2.0:
   version "25.2.0"
   resolved "https://registry.yarnpkg.com/jest/-/jest-25.2.0.tgz#d7b9b9ce7007002a9b4586da9bf0e0414a10a27d"
   integrity sha512-6vlNxNhkZZcFBpn6GkVHyEQZKE9zAsnYithlHAnkVLJYFdD6o4dV2S7uTFcxi6k9XEEN2ilVLuTe6PJ1qgbi4w==
@@ -7408,7 +7408,7 @@ react-test-renderer@^16.0.0-0:
     object-assign "^4.1.1"
     prop-types "^15.6.0"
 
-react@^16.5.1:
+"react@^0.13.0 || ^0.14.0 || ^15.0.0 || ^16.0.0", react@^16.5.1:
   version "16.5.2"
   resolved "https://registry.yarnpkg.com/react/-/react-16.5.2.tgz#19f6b444ed139baa45609eee6dc3d318b3895d42"
   dependencies: