diff --git a/types/jest/index.d.ts b/types/jest/index.d.ts
index 253ef0fbc98595..88a19e487aea25 100644
--- a/types/jest/index.d.ts
+++ b/types/jest/index.d.ts
@@ -785,7 +785,7 @@ declare namespace jest {
          * This is particularly useful for ensuring expected objects have the right structure.
          */
         // tslint:disable-next-line: no-unnecessary-generics
-        lastReturnedWith<E = any>(value: E): R;
+        lastReturnedWith<E = any>(expected?: E): R;
         /**
          * Ensure that a mock function is called with specific arguments on an Nth call.
          *
@@ -801,7 +801,7 @@ declare namespace jest {
          * This is particularly useful for ensuring expected objects have the right structure.
          */
         // tslint:disable-next-line: no-unnecessary-generics
-        nthReturnedWith<E = any>(n: number, value: E): R;
+        nthReturnedWith<E = any>(n: number, expected?: E): R;
         /**
          * Checks that a value is what you expect. It uses `Object.is` to check strict equality.
          * Don't use `toBe` with floating-point numbers.
@@ -957,7 +957,7 @@ declare namespace jest {
          * This is particularly useful for ensuring expected objects have the right structure.
          */
         // tslint:disable-next-line: no-unnecessary-generics
-        toHaveLastReturnedWith<E = any>(expected: E): R;
+        toHaveLastReturnedWith<E = any>(expected?: E): R;
         /**
          * Used to check that an object has a `.length` property
          * and it is set to a certain numeric value.
@@ -972,7 +972,7 @@ declare namespace jest {
          * This is particularly useful for ensuring expected objects have the right structure.
          */
         // tslint:disable-next-line: no-unnecessary-generics
-        toHaveNthReturnedWith<E = any>(nthCall: number, expected: E): R;
+        toHaveNthReturnedWith<E = any>(nthCall: number, expected?: E): R;
         /**
          * Use to check if property at provided reference keyPath exists for an object.
          * For checking deeply nested properties in an object you may use dot notation or an array containing
@@ -1004,7 +1004,7 @@ declare namespace jest {
          * This is particularly useful for ensuring expected objects have the right structure.
          */
         // tslint:disable-next-line: no-unnecessary-generics
-        toHaveReturnedWith<E = any>(expected: E): R;
+        toHaveReturnedWith<E = any>(expected?: E): R;
         /**
          * Check that a string matches a regular expression.
          */
@@ -1070,7 +1070,7 @@ declare namespace jest {
          * This is particularly useful for ensuring expected objects have the right structure.
          */
         // tslint:disable-next-line: no-unnecessary-generics
-        toReturnWith<E = any>(value: E): R;
+        toReturnWith<E = any>(value?: E): R;
         /**
          * Use to test that objects have the same types as well as structure.
          *
diff --git a/types/jest/jest-tests.ts b/types/jest/jest-tests.ts
index f26bc822e01c8a..e92f5c9634c536 100644
--- a/types/jest/jest-tests.ts
+++ b/types/jest/jest-tests.ts
@@ -1062,12 +1062,14 @@ describe('', () => {
 
         expect(jest.fn()).lastReturnedWith('jest');
         expect(jest.fn()).lastReturnedWith({});
+        expect(jest.fn()).lastReturnedWith();
 
-        expect(jest.fn()).nthCalledWith(0, 'jest');
-        expect(jest.fn()).nthCalledWith(1, {});
+        expect(jest.fn()).nthCalledWith(1, 'jest');
+        expect(jest.fn()).nthCalledWith(2, {});
 
-        expect(jest.fn()).nthReturnedWith(0, 'jest');
-        expect(jest.fn()).nthReturnedWith(1, {});
+        expect(jest.fn()).nthReturnedWith(1, 'jest');
+        expect(jest.fn()).nthReturnedWith(2, {});
+        expect(jest.fn()).nthReturnedWith(3);
 
         expect({}).toBe({});
         expect([]).toBe([]);
@@ -1152,12 +1154,14 @@ describe('', () => {
 
         expect(jest.fn()).toHaveLastReturnedWith('jest');
         expect(jest.fn()).toHaveLastReturnedWith({});
+        expect(jest.fn()).toHaveLastReturnedWith();
 
         expect([]).toHaveLength(0);
         expect('').toHaveLength(1);
 
-        expect(jest.fn()).toHaveNthReturnedWith(0, 'jest');
-        expect(jest.fn()).toHaveNthReturnedWith(1, {});
+        expect(jest.fn()).toHaveNthReturnedWith(1, 'jest');
+        expect(jest.fn()).toHaveNthReturnedWith(2, {});
+        expect(jest.fn()).toHaveNthReturnedWith(3);
 
         expect({}).toHaveProperty('property');
         expect({}).toHaveProperty('property', {});
@@ -1173,6 +1177,7 @@ describe('', () => {
 
         expect(jest.fn()).toHaveReturnedWith('jest');
         expect(jest.fn()).toHaveReturnedWith({});
+        expect(jest.fn()).toHaveReturnedWith();
 
         expect('').toMatch('');
         expect('').toMatch(/foo/);
@@ -1230,6 +1235,7 @@ describe('', () => {
 
         expect(jest.fn()).toReturnWith('jest');
         expect(jest.fn()).toReturnWith({});
+        expect(jest.fn()).toReturnWith();
 
         expect(true).toStrictEqual(false);
         expect({}).toStrictEqual({});