Brief Answer:
No, if the bleeding has stopped and the structure of tissues not changed
Detailed Answer:
Hello and Welcome to ‘Ask A Doctor’ service. I have reviewed your query and here is my advice.
If the wound has stopped bleeding and the structure of the lip has not changed and it will not look cosmetically bad when will heal, than you don't need to get a stitch.
You can upload a photo in our system so I can have a look at it, to make sure that it doesn't need a stitch. To upload an image, simply click on the link to upload a file and follow the instructions. If this proves difficult, please send the image by mail to YYYY@YYYY and request that the image should be uploaded to your query.
If worse or not better, I would recommend seeing a local doctor.
Hope I have answered your query. Let me know if I can assist you further.