Shifting wb on Canon xha1

Hey, people first hope your are well. I just shot a scene for a short and now I'm looking at the footage and it seems that there is a slight shift of the white balance. I'm looking at it in a regular monitor that is not hd. I shot with the canon xha1 in 24f. shutter at 1/48. I made sure to set the white balance. I was shooting under fluorescent lights. The shift is very slight. Can that be corrected in post? Or do I have to shoot again? And what do I have to do to avoid that problem again if I shoot again?

Thanks,

Antonio