Technical director Mark-Jan Fledderus's comments were a long way from reassuring for Gronigen fans keen to see the Norway striker stay, just a sign that they will play hard to get over the 22-year-old.
Bologna have also had two lower bids turned down for Larsen, who has two years left on his contract with the Eredivise side.
Signing a goalscoring centre-forward is a high priority for Boro this summer.
"We have in the last three years earned a lot of money on the transfer market but in the end you are a football club that wants to perform and that's why we really want to keep Jorgen," explained Fledderus. "We have made that completely clear to Jorgen.
"We eventually arrived at a strategy in which we said, in principle, we want to keep Larsen at FC Groningen and will only sell for the absolute top price.
"Before the last game against Osasuna we spoke with Jorgen and his agent and that amount was not on the table."