The 28-year-old second rower will become a Bradford player once he passes a medical on a bicep injury and the paperwork is completed.
"The two clubs have reached agreement on the terms and now various signatures need to be placed on the documents," said Bradford chairman Peter Hood.
"I see no reason why it shouldn?t happen. It?s just a question of signatures on the paperwork.
"The problem is that the player?s agent is in Vietnam, the player is in New Zealand and Steve McNamara is in Mexico."
Solomona had two years left to run on his contract but would have become a free agent had the Wildcats been relegated, though they reluctantly agreed to his transfer request.
Bradford still have cash to spend following the record ?450,000 transfer of Stuart Fielden to Wigan Warriors earlier this year.