The 25-year-old Morocco international spent last season on loan at the Britannia Stadium and Hughes is keen to bring the winger back on a permanent deal.
Liverpool's initial asking price of £7million was perceived to be a stumbling block and then reports emerged over the weekend that the player's wage demands - it was suggested he was asking for £45,000-a-week - were an issue.
However, Hughes remains hopeful an agreement can be reached.
"It's on-going and these things happen. Everybody knows we are interested and that is still the case," said Hughes.
Assaidi made 25 appearances for the Potters last season and scored five goals.
He joined Liverpool from Dutch club Heerenveen for £2.4m in August 2012 but has yet to start a Premier League game for the Reds.