Allen looks set for a move to the Potteries this summer.
The Reds accepted a bid for the Wales international last week. It was thought that Swansea City would show interest in their former player. However the Echo reports that Stoke are the only side Liverpool have managed to agree a fee with after the Swans had an £8 million bid rejected by the Reds earlier on in the transfer window.
Allen was entering the final year of his contract, and it appears that his chances of getting regular first-team football were going to be limited further by a lack of European football, combined with the arrival of Marko Grujic and Giorginio Wijnaldum this summer.
Since manager Jurgen Klopp's appointment, there was something of an upturn in Allen's fortunes at Liverpool after being something of a maligned figure.
He certainly ensured he made an impact when called upon from the bench and was used as a rotation option towards the end of the season. His performances for Wales during their remarkable run to the Euro 2016 semi-finals meant his stock has risen even further.
This move seems the best for all parties. Stoke will get a very good footballer, Allen is likely to get more game time under Mark Hughes while Liverpool have cashed in on a player on the fringes of their side and was entering the final year of his contract. If business were done next summer, he would have left without a transfer fee.