It is possible conjunctivitis if the redness is just on conjunctiva area and the cornea is still clear. If you see the surface of eye ball is not normal, then it is possible involving the cornea. I reaaly strongly recommend you take your dog to see your doctor as soon as possible because the eye problem is evey important on Timing treatment. You can't wait and see what will happen on your own eye's problem too if you have eye problem. One tiny mistake or delay will induce unreversible result.
Dr. Lee