Safe Sleeping

My daughter is a week old and I am constantly worried about her being okay while she is sleeping. She loves to sleep in her swing which I know is not the best position for her to be in. I have been trying to put her in her bassinet but she hates it and will only sleep for an hour or so at a time. I took the mattress out of the swing and put her in it hoping it would help her feel more secure in a smaller space since it has edges. Do you think this is safe for her to sleep in (in the bassinet) at night?