The midfield player, who joined Town for £8m from Derby County in 2017, is due to undergo a medical at Stoke City today ahead of a £10m move.
Ince will replace Xherdan Shaqiri, who has left Stoke for Liverpool.
Hull City may make fresh moves to sign Brighton duo winger Jiri Skalak and midfielder Oliver Norwood, who was with Tigers chief Nigel Adkins at Reading in 2014, after having their initial bids rejected.
Leeds United are waiting to hear if Manchester City will allow top prospects Phil Foden and Brahim Diaz to join them on loan.
Middlesbrough, QPR and West Bromwich Albion are chasing £3.5m-rated Maccabi Tel Aviv striker and Iceland international Vidar Orn Kjartansson.
Rotherham United chief Paul Warne still hopes to have goalkeeper Marek Rodak back at the club on loan from Fulham, who have delayed a deal until signing a replacement for Brighton-bound David Button.
Sheffield United are hoping a £5m bid for striker Martyn Waghorn will be accepted by Ipswich Town, who value last season’s 16-goal top scorer at £7.5m.
The Blades may also make a move for Sam Winnall, who is currently injured but who is back at Sheffield Wednesday after ending his loan spell with Derby County.
Ipswich have joined Millwall, Reading and Hull in the hunt for Barnsley’s Welsh international striker Tom Bradshaw, 25.