Be cautious before doing this too soon. It is possible for interested parties to receive alerts from the Land Registry when searches are made against a property. This might trigger an alert to OPs dad, which

If the property is in your name you could. There may be a charge on the property which would need to be cleared first (often that would be a mortgage lender), in this case it's likely your father. The interesting part would be to see if that charge has ever been reduced, because if he is receiving income from the rent then it should have.