Deacons baptizing during mass

In Paul Turner's Blog by Paul Turner

Q:  We celebrate baptisms during mass at our parish.  Is it alright for our Permanent Deacon to baptize during mass, or should the baptisms be celebrated by the priest-presider?

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A:  Here’s an answer I gave three years ago, saying it was OK:

https://paulturner.org/deacons-and-baptism/

But since then I’ve been advised by a canonist that a deacon should obtain permission from the bishop before baptizing at a mass. It would ensure that any potential canonical difficulties would not get in the way.