Dovizioso will leave Ducati at the end of the season, bringing an end to his eight-year association with the team.
The 34-year-old, who finished runner-up in the championship in the last three seasons, said last month that he was open to becoming a test rider but has now had a change of heart.
"Over the last few months, I have received several offers to work as a test rider in developing MotoGP projects and I am grateful for the consideration," Dovizioso said in a statement.
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"However, I have decided not to make any commitments and to remain free from formal agreements for now."
"I still have the ambition to compete and fight to win. I will return to MotoGP as soon as I find a project driven by the same passion and ambition that I have and within an organization that shares my same objectives, values and working methods."
Dovizioso, who is sixth in the world championship standings, 45 points behind leader Joan Mir of Suzuki, said he would focus on securing a strong finish to the season, which has two races remaining. (Reporting by Arvind Sriram in Bengaluru Editing by Toby Davis)
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