diff --git a/packages/babel-jest/package.json b/packages/babel-jest/package.json
index e16b3dbb4604..ea5f3c6cd554 100644
--- a/packages/babel-jest/package.json
+++ b/packages/babel-jest/package.json
@@ -20,8 +20,7 @@
     "slash": "^2.0.0"
   },
   "devDependencies": {
-    "@babel/core": "~7.2.2",
-    "@babel/parser": "~7.2.3",
+    "@babel/core": "^7.1.0",
     "@types/slash": "^2.0.0"
   },
   "peerDependencies": {
diff --git a/yarn.lock b/yarn.lock
index de623de33e17..33bc697e3fa6 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -9,7 +9,7 @@
   dependencies:
     "@babel/highlight" "^7.0.0"
 
-"@babel/core@*", "@babel/core@^7.0.0", "@babel/core@^7.1.0", "@babel/core@^7.3.4":
+"@babel/core@*", "@babel/core@^7.0.0", "@babel/core@^7.3.4":
   version "7.3.4"
   resolved "https://registry.yarnpkg.com/@babel/core/-/core-7.3.4.tgz#921a5a13746c21e32445bf0798680e9d11a6530b"
   integrity sha512-jRsuseXBo9pN197KnDwhhaaBzyZr2oIcLHHTt2oDdQrej5Qp57dCCJafWx5ivU8/alEYDpssYqv1MUqcxwQlrA==
@@ -29,7 +29,7 @@
     semver "^5.4.1"
     source-map "^0.5.0"
 
-"@babel/core@~7.2.2":
+"@babel/core@^7.1.0":
   version "7.2.2"
   resolved "https://registry.yarnpkg.com/@babel/core/-/core-7.2.2.tgz#07adba6dde27bb5ad8d8672f15fde3e08184a687"
   integrity sha512-59vB0RWt09cAct5EIe58+NzGP4TFSD3Bz//2/ELy3ZeTeKF6VTD1AXlH8BGGbCX0PuobZBsIzO7IAI9PH67eKw==
@@ -253,12 +253,12 @@
     esutils "^2.0.2"
     js-tokens "^4.0.0"
 
-"@babel/parser@^7.0.0", "@babel/parser@^7.1.0", "@babel/parser@^7.2.2", "@babel/parser@^7.3.4":
+"@babel/parser@^7.0.0", "@babel/parser@^7.1.0", "@babel/parser@^7.3.4":
   version "7.3.4"
   resolved "https://registry.yarnpkg.com/@babel/parser/-/parser-7.3.4.tgz#a43357e4bbf4b92a437fb9e465c192848287f27c"
   integrity sha512-tXZCqWtlOOP4wgCp6RjRvLmfuhnqTLy9VHwRochJBCP2nDm27JnnuFEnXFASVyQNHk36jD1tAammsCEEqgscIQ==
 
-"@babel/parser@~7.2.3":
+"@babel/parser@^7.2.2":
   version "7.2.3"
   resolved "https://registry.yarnpkg.com/@babel/parser/-/parser-7.2.3.tgz#32f5df65744b70888d17872ec106b02434ba1489"
   integrity sha512-0LyEcVlfCoFmci8mXx8A5oIkpkOgyo8dRHtxBnK9RRBwxO2+JZPNsqtVEZQ7mJFPxnXF9lfmU24mHOPI0qnlkA==