diff --git a/.gitignore b/.gitignore
index aa61f944a03a..68f339b4945a 100644
--- a/.gitignore
+++ b/.gitignore
@@ -36,3 +36,5 @@ npm-debug.log
 npm-debug.log*
 yarn-error.log*
 junit.xml
+
+*.tsbuildinfo
diff --git a/CHANGELOG.md b/CHANGELOG.md
index d2ac5ce1d9a3..e0345f59eb55 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -16,8 +16,9 @@
 - `[*]` Use property initializer syntax in Jest codebase ([#8117](https://github.com/facebook/jest/pull/8117))
 - `[docs]` Improve description of optional arguments in ExpectAPI.md ([#8126](https://github.com/facebook/jest/pull/8126)
 - `[*]` Move @types/node to the root package.json [#8129](https://github.com/facebook/jest/pull/8129))
-- `[*]` Add documentation and tests related to auto-mocking ([#8086](https://github.com/facebook/jest/pull/8099))
+- `[*]` Add documentation and tests related to auto-mocking ([#8099](https://github.com/facebook/jest/pull/8099))
 - `[*]` Add `jest-watch-typeahead` as a devDependency ([#6449](https://github.com/facebook/jest/pull/6449/files))
+- `[*]` upgrade TS to 3.4.0-dev\* for inceremental builds ([#8149](https://github.com/facebook/jest/pull/8149))
 
 ### Performance
 
diff --git a/package.json b/package.json
index 280ba9e07aa2..f51140b47a51 100644
--- a/package.json
+++ b/package.json
@@ -70,7 +70,7 @@
     "slash": "^2.0.0",
     "string-length": "^2.0.0",
     "strip-ansi": "^5.0.0",
-    "typescript": "^3.3.3",
+    "typescript": "next",
     "webpack": "^4.28.4"
   },
   "scripts": {
diff --git a/scripts/buildTs.js b/scripts/buildTs.js
index ec5479be5c4b..563cd3275e6b 100644
--- a/scripts/buildTs.js
+++ b/scripts/buildTs.js
@@ -20,13 +20,19 @@ const packagesWithTs = packages.filter(p =>
   fs.existsSync(path.resolve(p, 'tsconfig.json'))
 );
 
-const args = ['-b', ...packagesWithTs, ...process.argv.slice(2)];
+const args = [
+  '--max-old-space-size=4096',
+  'node_modules/.bin/tsc',
+  '-b',
+  ...packagesWithTs,
+  ...process.argv.slice(2),
+];
 
 console.log(chalk.inverse('Building TypeScript definition files'));
 process.stdout.write(adjustToTerminalWidth('Building\n'));
 
 try {
-  execa.sync('tsc', args, {stdio: 'inherit'});
+  execa.sync('node', args, {stdio: 'inherit'});
   process.stdout.write(`${OK}\n`);
 } catch (e) {
   process.stdout.write('\n');
diff --git a/yarn.lock b/yarn.lock
index fabe3a658795..70b149121275 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -12841,11 +12841,16 @@ typedarray@^0.0.6:
   resolved "https://registry.yarnpkg.com/typedarray/-/typedarray-0.0.6.tgz#867ac74e3864187b1d3d47d996a78ec5c8830777"
   integrity sha1-hnrHTjhkGHsdPUfZlqeOxciDB3c=
 
-typescript@*, typescript@^3.3.3:
+typescript@*:
   version "3.3.3333"
   resolved "https://registry.yarnpkg.com/typescript/-/typescript-3.3.3333.tgz#171b2c5af66c59e9431199117a3bcadc66fdcfd6"
   integrity sha512-JjSKsAfuHBE/fB2oZ8NxtRTk5iGcg6hkYXMnZ3Wc+b2RSqejEqTaem11mHASMnFilHrax3sLK0GDzcJrekZYLw==
 
+typescript@next:
+  version "3.4.0-dev.20190319"
+  resolved "https://registry.yarnpkg.com/typescript/-/typescript-3.4.0-dev.20190319.tgz#7b57c2e975aea2216e172993dbd51bf9f749a4e5"
+  integrity sha512-07xlAz0ntyntHs8sDMqy3JMjTV/yfWhOuPcmJWCQCQehDWBD/YyrBDOOvHgACTBuiE+bIjkTaT7J14nz32dkZw==
+
 ua-parser-js@^0.7.18:
   version "0.7.19"
   resolved "https://registry.yarnpkg.com/ua-parser-js/-/ua-parser-js-0.7.19.tgz#94151be4c0a7fb1d001af7022fdaca4642659e4b"