The Welsh outfit have had to contend with European fixtures this season, including a trip to Russia on Thursday to face Kuban Krasnodar.
The Swans are currently 13th in the Premier League, but Davies said that no-one at the Liberty Stadium is worried about patchy early-season form.
"We have not had much of a look at Stoke yet as we had the game in Russia to think about," Sky Sports News quotes Davies as saying. "It's been a hard week for us so it would be nice to finish it with three points on Sunday.
"It's an important game because it gives us a chance to get out of the mini-slump we are in and get the fans back on side, but every team will go through a difficult run this season.
"Everybody is desperate for that win, but no-one is at the stage where they are panicking."
Swansea are second to Valencia in Group A of the Europa League.