Hello, I am Dr. Peter a licensed Veterinarian. I would like to help. I need to ask you a few questions to be well informed and give you the best advise. There is no additional charge for information request.
1- What type of surgery did he have?
2- When was the surgery done?
3- Can you expand on what you are seeing on the incision?
4- Is he licking the incision?
In response to your question, No, it is not normal for bleeding to occur after surgery. In this case, after almost 1 week post surgery, if you are seeing red oozing, it is most likely to be a seroma, which is fluid build up in the incision secondary to dead space created within the incision. These are common post operative complications.
I would recommend you have him checked tomorrow by your family veterinarian. In the meantime, make certain he does not lick the incision, if necessary put the ecollar back on. Limit his physical activity to urinate and defecate on a leash. To much activity decreases healing time and promotes seroma. Follow up in the morning with your veterinarian.
Hope the above helps, if you have additional questions I will be glad to answer them.
Can you give me an idea of how much blood are you seeing?
What you can do is apply cold compresses for 5-10 minutes every 2-3 hours. This will cause the vessels to constrict and stop the bleeding.
If you are seeing more than a tablespoon of blood within an hour, then, I would recommend to consider having him checked by ER veterinarian. If not, apply the cold compresses and follow up in the morning with your veterinarian.