Thank you for your question. Swelling and bruising can happen immediately or in a delayed fashion regardless of the type of injectable filler used. I would avoid the use of any blood thinners for a week prior to the injection and avoid alcohol or anything that makes you hot (e.g. hot bath, exercise) for a good day or two after your injection.
Lip injections can cause bruising, you can use cannulas to limit the complications but they still can occur. Please see an expert. Best, Dr. Emer.