The picture is very blurry and hard to make out. Is that his paw pad that is cut?
If it has been a week and there's no improvement then I would suggest a recheck with your vet. The laceration could be the cause of the problem but having someone take a look at it first hand is the best bet. Also, antibiotics may be necessary. You can dilute dish soap in warm water and soak the paw in it in the mean time.
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