Connecting corridors carved with a brush.

I need to connect a corridor I'm creating to another corridor in the same object. Using the brush in subtract mode, the corridor continues after it hits a wall. I'd like it to connect to the one behind the wall. That is, after it touches a wall, it removes it with a single brushstroke and continues forming further walls with the next brushstroke. Available tools allow this, but you have to remove the mesh and manually connect the edges, which is very labor-intensive and time-consuming.