Dibble injured his knee after colliding with Ian Moore 12 minutes from time, and had to go off. Wrexham didn't bring any backup goalkeepers with them so Nick Mickopoulos - who had played for Burnley earlier in the match before being substituted - was brought on.
Mickopoulos had to face his own side in a penalty shoot-out after it finished 3-3 after 90 minutes. He didn't manage to keep any of them out and with Trundle and Edwards missing for the Dragons, Burnley won the match.
Manager Denis Smith said: "Andy's shaken his knee up and it's sod's law. You can guarantee goalkeepers never get injured unless you've only got one.
"We'll have to see but I think he should be OK for tomorrow. I don't know for definite because I've not had the chance to speak to him yet."