Welcome to the forums, we'll try to help!
Can you describe the wound and/or submit a picture?
Small superficial scratches may heal in a few days, others are more serious and require attention from a certified avian veterinarian. Always a risk of infection and damage to the underlying area. If there is any doubt, better to seek a vet!
Probably best to temporarily remove the wounded bird from the rest. Some species may become vicious and further attack. Is this bird eating, drinking, perching, and eliminating (going to the bathroom) normally?
I am not familiar with lovebirds, so others with experience can give better advice!