Rodgers said: “He just overstretched a little bit towards the end, but I think he’s fine.”
The Parkhead gaffer was relieved to come away with full points after a result which moves the champions to within one victory of the league title.
Goals from Jozo Simunovic and Stuart Armstrong appeared to have Celtic cruising, but sub Fassail El Bakhtaoui thumped in a stunning strike for the Tayside outfit 16 minutes from time.
“The second-half, we scored a great goal to go 2-0 up and I felt after that we had chances to close the game out. And then we just lost our positioning a little bit.
“We made a mistake to let them score the goal which was a great strike and then at 2-1 we had to show a different side to our game because Dundee were quite direct from then on.
“We had to show fight and mentality, but we did that. It was a great victory.”