This reminds me of my pre-believing days when my wife and I were typical ELCA Lutherans (going through the motions on Sunday mornings). We actually came very close to taking our infant nephew to be baptized (to save his soul, LOL). His atheist parents would have had a cow.
A Catholic priest would not have allowed that. The requirement is that at least one parent should desire the baptism. That is because it is the will of the parent, not of the baby, that presents the child to Christ.