In a word, no.
When he dies, any joint property and joint debts pass to you automatically. Any property is his name only becomes part of his estate and any debts in his name are debts against the estate.
If he leaves a will, his executor applies to the probate office for probate. If there is no will, you (as next of kin) apply to the probate office for letters of administration. You put together an account of all of his assets. If these are sufficient to pay off his debts, any surplus can be distributed according to the will or rules of intestacy. If the money is not enough to pay off all the debts, the creditors each get a share. The taxman gets first pick and gambling debts are ignored.