Edwards scored one of the goals when Wolves achieved a shock 2-1 win over City at Molineux earlier in the season.
But the Wales international suffered a hamstring injury during the 2-2 draw at Doncaster in the FA Cup which has prevented him training so far this week.
Edwards said: "I've picked up a little tweak but it`s not a bad one. Hopefully I'll be fine for the weekend or, if not, then the next game.
"I'm hoping to get back in training before Saturday and, with a bit of luck, I'll be available for selection."
Source: PA
Source: PA