Reports have suggested that Arsenal are among a host of clubs readying a bid for the 23-year-old, who has 12 goals in all competitions this season.
The Daily Mail believes that the Gunners have set aside £25m for the Montenegrin, but Cognigni has said that the striker is fully focused on the final stretch of the Viola's Serie A campaign.
"Jovetic is happy in Florence," he told Radio Marte. "As we've said in the past, we will sit down with him and discuss his future at the end of the season.
"Until then Jovetic will just be thinking about Fiorentina."
AC Milan, Inter Milan and Napoli have all recently been linked with Jovetic.