The phrase "to absorb the juice" means when a substance or material soaks up or takes in the liquid part of something, typically to enhance its flavor or quality. Full definition
For example, if you put thick wet slices of tomato touching the bread, it's going to slowly absorb the juice. (djfoodie.com)
Imagine, the crusty bread cubes absorb the juices from the tomatoes and the vinaigrette; that combined with the crunch of the onions, salty olives, juicy tomatoes and sweet cantaloupe with cracked pepper... the result, I just want the shade of a tall tree to dine under and my bread to be older. (yes-moreplease.com)
I also added a splash of cognac and about twice as much of the cooking liquid as called for, plus a tablespoon of flour (mostly because I used a waxy potato that didn't seem to be absorbing the juices as much as a floury one would have). (epicurious.com)