Know readers would likely wonder where Jane is, so yeah, a short snippet is good. Maybe you write a short-short story that covers it? (Even if you don’t publish, it’d be good to reference.)
A decent example I’m thinking of, is Star Trek TNG, Gates McFadden got “fired” end of season 1, so they explained her absence as “reassignment to Starfleet Medical”, and once rehired for Season 3, “one year rotation’s over, she’s back”.