The Sun says Cottagers boss Mark Hughes has tabled a £1million bid for Ings.
Striker Ings, 18, impressed Fulham scouts when they visited Dean Court to watch him towards the end of last season.
But boss Sparky may have a battle on his hands to sign the youngster.
Cherries chairman Eddie Mitchell said: "In the current climate, he is worth more than £1m.
"Danny is only 18 but he didn't look out of place with us last season."
Ings scored eight goals in 25 appearances.