The striker is set to complete the move to Elland Road after having a medical on Tuesday.
United, who beat Chester City in the race for his signature, are believed to have put a two-year contract on the table.
No transfer fee is involved but Cadamarteri's departure will slash the wage bill at Valley Parade.
Bantams boss Colin Todd told the Telegraph and Argus:``I would like Danny to stay but we have got to budget very carefully.
``The most important thing is that the club are able to start and finish the season.''