Aliadiere has put his career back on track since joining Lorient in 2011 and he has enjoyed a solid season in Ligue 1.
The 29-year-old, who previously had spells in the Premier League with Arsenal and Middlesbrough, has been linked with a return to English football.
Reports in France claimed Newcastle had seen an offer knocked back and Gourcuff confirmed he cannot afford to let Aliadiere leave this month.
"I know Jeremie's wife is missing England a lot but I know Jeremie will still be here on February 1st," Gourcuff told L'Equipe.
"Losing such a decisive player in the middle of a season would be an aberration.
"If Jeremie were to leave, we would have money, but money won't replace the player. That excludes any January transfer whatever the fee is. In June, it would be different."