Mock a single async function from a module

The handler module has the following structure:

handler.js

const isToBeUpdated = async (itemInputToSave) => {
    // func implementation;
}

const handler = async (event) => {
    // isToBeUpdated is used here within the try-catch block;
    // on `catch` there's only console.error logging the error;
}

module.exports = { handler, isToBeUpdated };

I want to write a test the purpose of which is to check that if isToBeUpdated throws an error then the console.error in the catch part is called with the expected error.

I tried a few solutions, none of them worked. For example I tried putting this into a test:

        const mockIsToBeUpdated = jest.fn().mockRejectedValueOnce(Error('isToBeUpdated Error'));
        jest.mock('/path/to/the/module', () => {
            return jest.fn().mockImplementationOnce(() => {
              return {
                isToBeUpdated: mockIsToBeUpdated,
              };
            });
        });
        await vec.handler({ Records: [record] });
        expect(consoleError).toHaveBeenCalledWith(Error('isToBeUpdated Error'));

The consoleError function is a mocked console.error and it was done this way:

const consoleError = jest.spyOn(console, 'error').mockImplementation();

But how do I mock the isToBeUpdated function and make it return an error. It's an async function.