How to separate Jobs from the monolith to Microservices?

Okay. Suppose, I have a big monolith application. Now, I want to move my monolith application into microservices. In that case, where should those Jobs go? My jobs update the DB rows. So, when I move the Jobs to a separate service and update the DB rows from that service, does it break the microservice concept? I don't want to make an HTTP call to my concerned service that should be the owner of that table. Because it will produce huge traffic for no reason. Or am I thinking wrong?

Enlighten me! Thanks.