diff --git a/e2e/__cases__/composite/foo.spec.ts b/e2e/__cases__/composite/foo.spec.ts
new file mode 100644
index 0000000000..5c772cc97d
--- /dev/null
+++ b/e2e/__cases__/composite/foo.spec.ts
@@ -0,0 +1,3 @@
+test('foo', () => {
+  expect(true).toBeTruthy();
+});
diff --git a/e2e/__cases__/composite/tsconfig.json b/e2e/__cases__/composite/tsconfig.json
new file mode 100644
index 0000000000..6680bc4fe6
--- /dev/null
+++ b/e2e/__cases__/composite/tsconfig.json
@@ -0,0 +1,6 @@
+{
+  "compilerOptions": {
+    "composite": true,
+    "tsBuildInfoFile": ".tsbuildinfo"
+  }
+}
diff --git a/e2e/__templates__/default/package-lock.json b/e2e/__templates__/default/package-lock.json
index e01bc93039..74f6b27310 100644
--- a/e2e/__templates__/default/package-lock.json
+++ b/e2e/__templates__/default/package-lock.json
@@ -4539,9 +4539,9 @@
       }
     },
     "typescript": {
-      "version": "3.1.6",
-      "resolved": "https://registry.npmjs.org/typescript/-/typescript-3.1.6.tgz",
-      "integrity": "sha512-tDMYfVtvpb96msS1lDX9MEdHrW4yOuZ4Kdc4Him9oU796XldPYF/t2+uKoX0BBa0hXXwDlqYQbXY5Rzjzc5hBA==",
+      "version": "3.4.5",
+      "resolved": "https://registry.npmjs.org/typescript/-/typescript-3.4.5.tgz",
+      "integrity": "sha512-YycBxUb49UUhdNMU5aJ7z5Ej2XGmaIBL0x34vZ82fn3hGvD+bgrMrVDpatgz2f7YxUMJxMkbWxJZeAvDxVe7Vw==",
       "dev": true
     },
     "uglify-js": {
diff --git a/e2e/__templates__/default/package.json b/e2e/__templates__/default/package.json
index d5d870f62d..ff6c0fb188 100644
--- a/e2e/__templates__/default/package.json
+++ b/e2e/__templates__/default/package.json
@@ -6,7 +6,7 @@
     "@types/jest": "24.0.6",
     "@types/node": "10.12.5",
     "jest": "24.9.0",
-    "typescript": "3.1.6"
+    "typescript": "3.4.5"
   },
   "wantedDependencies": {
     "@types/jest": "latest",
diff --git a/e2e/__tests__/__snapshots__/test-helpers.test.ts.snap b/e2e/__tests__/__snapshots__/test-helpers.test.ts.snap
index 5e2fd16802..0b575f59bd 100644
--- a/e2e/__tests__/__snapshots__/test-helpers.test.ts.snap
+++ b/e2e/__tests__/__snapshots__/test-helpers.test.ts.snap
@@ -11,10 +11,10 @@ exports[`test-helpers 1`] = `
     ● Test suite failed to run
   
       TypeScript diagnostics (customize using \`[jest-config].globals.ts-jest.diagnostics\` option):
-      fail.spec.ts:7:10 - error TS2554: Expected 0 arguments, but got 1.
+      fail.spec.ts:7:22 - error TS2554: Expected 0 arguments, but got 1.
   
       7   expect(mocked(foo)('hello')).toBeUndefined()
-                 ~~~~~~~~~~~~~~~~~~~~
+                             ~~~~~~~
       fail.spec.ts:9:46 - error TS2345: Argument of type '42' is not assignable to parameter of type 'string'.
   
       9   expect(mocked(bar, true).dummy.deep.deeper(42)).toBeUndefined()
@@ -42,10 +42,10 @@ exports[`with esModuleInterop set to false 1`] = `
     ● Test suite failed to run
   
       TypeScript diagnostics (customize using \`[jest-config].globals.ts-jest.diagnostics\` option):
-      fail.spec.ts:7:10 - error TS2554: Expected 0 arguments, but got 1.
+      fail.spec.ts:7:22 - error TS2554: Expected 0 arguments, but got 1.
   
       7   expect(mocked(foo)('hello')).toBeUndefined()
-                 ~~~~~~~~~~~~~~~~~~~~
+                             ~~~~~~~
       fail.spec.ts:9:46 - error TS2345: Argument of type '42' is not assignable to parameter of type 'string'.
   
       9   expect(mocked(bar, true).dummy.deep.deeper(42)).toBeUndefined()
diff --git a/e2e/__tests__/composite.test.ts b/e2e/__tests__/composite.test.ts
new file mode 100644
index 0000000000..f2c3bfd874
--- /dev/null
+++ b/e2e/__tests__/composite.test.ts
@@ -0,0 +1,13 @@
+import { PackageSets } from '../__helpers__/templates'
+import { configureTestCase } from '../__helpers__/test-case'
+
+describe('with composite enabled', () => {
+  const testCase = configureTestCase('composite')
+
+  testCase.runWithTemplates([PackageSets.default], 0, (runTest, { testLabel }) => {
+    it(testLabel, () => {
+      const result = runTest()
+      expect(result.status).toBe(0)
+    })
+  })
+})
diff --git a/src/config/config-set.ts b/src/config/config-set.ts
index 2cb2cb3482..2ac63cc9cd 100644
--- a/src/config/config-set.ts
+++ b/src/config/config-set.ts
@@ -551,7 +551,9 @@ export class ConfigSet {
       declarationDir: undefined,
       declarationMap: undefined,
       emitDeclarationOnly: undefined,
+      incremental: undefined,
       sourceRoot: undefined,
+      tsBuildInfoFile: undefined,
     }
     // force the module kind if not piping babel-jest
     if (!this.tsJest.babelConfig) {