The Terrors were relegated from the Scottish Premiership last night following a 2-1 defeat at the hands of rivals Dundee.
However, rather than jump ship, the Finnish coach is determined to reverse the club's fortunes next term.
"No, I don't give up. We came here this season. The ship was sinking already," he told reporters.
"We tried to tackle those problems personnel-wise. The January window is difficult and we have improved, just not enough."
The 49-year-old is contracted to Tannadice Park until the summer of 2018.