The 19-year-old striker has made the move north and will join up with former Bournemouth manager Eddie Howe, who gave Ings his professional debut last year.
“Obviously, I was disappointed the offers were turned down," Ings told Sky Sports News last week.
"It would have been a good opportunity for me.
“At the moment, all I can do is focus on playing for Bournemouth. I am very grateful to Bournemouth for giving me my chance.
“However, like any player, I have the ambition to play at the highest level and, for footballing reasons, if the opportunity comes up over the coming weeks then I would hope we would be able to sit down and look at it.”
Ings scored eight goals in 23 starts for Bournemouth in League One last season.