✅ async/await Task in an AWS Lambda

Given the following code

var someWorkTasks = Task.Run(async () =>
{
    ....
});

var someWorkTasks = Task.Run(async () =>
{
    ....
});

without explicitly doing

await someWorkTasks;

await someWorkTasks;

it is possible that the lambda execution will get cut off/finish before that has a change to complete, right?
I'm not insane? I need to explicitly

await someWorkTasks;

await someWorkTasks;

to ensure everything inside it finished, right?