Lincoln's executive director Keith Rowe said: "Liverpool made their interest known 10 days ago and have conducted themselves superbly.
Jack will spend a week in Liverpool from Monday with Academy coach Frank McParland and we are then expecting to complete the full transfer at the end of next week. We are delighted with the way how quickly things have been agreed with Liverpool."
Lincon manager Keith Alexander said: "It looks like Jack is going to Liverpool. I don't think he could be going to a better club. He's been with us since the age of nine and I believe he has the talent to go all the way to the top.
"Liverpool will look after him and can offer him some of the best facilities around, so I think it will be a great move for him if everything works out as we hope."