This process is shown in a series of two mini-movies and only works for fairly tight weaves.

This first movie shows inserting a stick into an open shed. Next I cut the warp off with scissors, making sure I leave about a half inch of fabric on the stick side. In this case I wove a half inch with red weft so I could easily see where to cut.

In this second movie, the weaving that was cut off has been taken away from the loom. I have removed two cord loops  from the tie-on bar, and I slide the bar into the opening of the warp retained by the stick. When the tie-on bar reaches the middle of the warp, I slide the middle cord loop onto the tie-on bar. I continue sliding the tie-on bar through the remainder of the warp and end by sliding the last cord loop onto it. The final step is to tighten the warp tension.

If you are concerned that your fabric may not be tight enough to hold the warp threads firmly in place, it can help to run a line of FrayCheck or some other glue across the fabric before cutting.