The England U21 international has held discussions with Swansea City, Sunderland, Hull City and Crystal Palace.
The 22-year-old was given permission to tout out his services by Blackpool after the club sacked his dad and manager Paul Ince.
As yet, his destination remains a mystery.
Kemp said: "We met Tom and his dad [Paul Ince] and we were very impressed with him, but unsursprisingly he wants to look at all the options available to him and make the decision that suits him best.
"We will have to wait and see."
He added: "Our players are keen for some new faces even if it means increased competition for places.
"That is part of football, there is no job security in this business, everyone accepts that.
"We want to improve and push on, and anyone that comes into the squad who makes us better will be welcomed."