The Canaries have already had an offer for the Sweden international accepted during the current transfer window, but no agreement has been pushed through.
That was said to be down to Toivonen, who has entered the final year of his contract at PSV.
The 27-year-old is, however, ruling nothing out.
With there still plenty of time for him to make a decision, Toivonen does not want to rush into anything.
That means there is still a chance that he could be lining up in the Premier League this season, with Norwich having worked hard to bring added firepower into their ranks.
On his future, Toivonen told VI: "I did not say definitively it (Norwich) was no longer an option.
"I want to take my time, I do not hurry."