Welcome to Justanswer! I am Dr. Altman and happy to assist you both today!
First, I am so very sorry that you lost your other pet the past week. This in and of itself can be a stressor that causes a reduced immune system even in the best of conditions and result in either gi upset or even a risk of a urinary tract infection which would be my primary concern. Even though he has been leaving blood spots and not urinating blood this is still my top differential
There are a handful of causes of blood from the urethra:
1.) A urinary tract infection
2.) Bladder stones that traumatize the bladder and cause bleeding or bladder crystals that are being urinated out and the crystals are irritating the urethra and causing the excess licking. These crystals are like shards of glass similar to insulation
3.) A bladder tumor, most likely in a senior pet
4.) Trauma- hit by car, muscle trauma of some kind
Ideally until you are able to get to your veterinarian, please increase water intake. You can do this by supplementing the dry food with water and flavoring the water (maple syrup or no salt broth for example) as well. Increasing the water intake will help "flush" out the bladder and reduce the pain associated with the bleeding.
Collecting a first morning sample in a tupperware container and refrigerating the sample if more than an hour old to have your vet evaluate the sample will help determine the cause of the blood in the urine.
Your vet will run a urinalysis, potentially do a urine culture to look for bacteria, an X-ray to rule out a bladder stone, and bloodwork to ensure there is not a metabolic cause or kidney issues causing the symptoms
Diagnosing the issue will help determine how best to treat the blood in the urine to get your pet comfortable swiftly
Below is more information on this condition in dogs, called hematuria (blood in urine):
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