List thread security

I am using the below code

var processed = new List<Guid>();
Parallel.ForEach(items, item => 
{
    processed.Add(SomeProcessingFunc(item));
});

Is the above code thread safe? Is there a chance of processed list getting corrupted? Or should i use a lock before adding?

var processed = new List<Guid>();
Parallel.ForEach(items, item => 
{
    lock(items.SyncRoot)
        processed.Add(SomeProcessingFunc(item));
});

thanks.