The Potters have reportedly tabled a £4million offer for the 26-year-old attacking midfielder, who has impressed for Ipswich this term.
Stoke boss Tony Pulis is a firm admirer of the English-born Irish star having failed in a £3million bid two years ago.
Town manager Keane insists Walters is top-flight quality after impressing in what has been a difficult season for the Portman Road outfit.
"Jon deserves to be in the Premier League," said Keane. "He is a player of Premier League quality.
"He has done a terrific job for me in a difficult season. He has led by example. I've got so much time for Jon."
Source: Team Talk
Source: Team Talk