The `Alsatian Cousin` singer went for X-rays in Sweden - shortly after the incident took place in the UK - which revealed he had fractured his finger, but the injury will not affect his current European tour.
A statement on fan website True To You, which is often used by the singer, read: "Morrissey sustained hand and arm injuries recently after being attacked by a dog in England. Morrissey has attended hospital in Malmo (Sweden) where X-rays reveal a fractured index finger on his right hand. The cracked bone is at the tip of the finger.
The injury will not affect upcoming shows."
Morrissey, 52, recently revealed he is still without a record deal and believes this is partly due to his previous success with The Smiths.
He said: "There`s not much I can do about it. Once it becomes public that you aren`t signed, you assume that anyone who wants you will come and get you.
"I think labels for the most part want to sign new discoveries so that that label alone is seen to be responsible for the rise of the artist. Not many labels want bands who have already made their mark, because their success is usually attributed to some other label somewhere else at another time.
"Most artists are remembered for the albums that introduced them, or that made their success. For this reason, the press only write about me in terms of the Smiths story, and the fact that I`ve had three solo number one albums - or even 25 years of eventful solo activity - is never mentioned anywhere. Odd."