The Bluebirds have made the England U21 international a top target this summer as they prepare for life among the Premier League elite.
They have already seen an offer for the 21-year-old forward accepted by Blackpool, and have agreed terms on a transfer.
All that they require now is the go-ahead from Ince to push a deal through.
Cardiff boss Malky Mackay believes a decision is close and hopes to be in a position to welcome another fresh face into his ranks inside the next 24 hours.
He said: "We've had a bid accepted by Blackpool. We've agreed terms with the agent.
"Tom and his dad were both on holiday and on a professional course at the time, so Monday was the earliest they could get down to us. We had a good chat, a cup of tea and a biscuit and a look about the place.
"Tom said the last couple of days he had a domestic issue to deal with, but Friday morning the ball's in their court and on Friday morning we'll have a decision one way or another."
Asked whether he felt Ince was keen on a switch to south Wales, Mackay added: "I can only say from the chat we had, we had a very amicable, friendly chat and they asked me a lot of questions about where his career could go forward, where I see him in terms of the type of player he is and what's going on here.
"After that, then that's probably something for him and his family to decide.
"He was certainly very impressed by the stadium, training ground and the city in general during our conversation and the plans for Cardiff City going forward."