I had the same thought tonight. I actually ask my therapist what happen if baby cry for milk during our session. She said to get someone to take care during the massage because they won’t be able to stop n wait for me to feed, they got other customer place to visit after.. so I plan to pump in advance for my family to feed during massage.
I assume you have other family member to help take care of the baby while you massage? If you bf, maybe schedule the massage during non feeding time?