Despite bringing in Luciano Becchio from Leeds and Kei Kamara on loan from Sporting Kansas City in January, manager Chris Hughton is still believed to be keen to draft in attacking options.
He has highlighted van Wolfswinkel as his main target, with Sporting currently in a state of financial turmoil.
The Portuguese giants have mounting debt problems, which has led to speculation that they could be forced to sell a number of their star men this summer just to stay afloat.
As one of their most valuable assets, van Wolfswinkel could be one of the first out of the door, and Norwich are said to be willing to spend £10m to bring him to Carrow Road.
The 24-year-old was linked with the likes of Liverpool and Tottenham prior to his move to Lisbon from Utrecht, after an impressive spell in the Eredivisie.
With 22 goals since the start of last term, the Dutchman has also been a success with Sporting, alerting clubs from across Europe.
But, as long as they avoid relegation, Norwich are confident they can lure him to East Anglia, with first-team football all but guaranteed in a yellow shirt.
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