Too mobile for changing table?

Did you stop changing your LO on top of their changing table after they started to want to crawl all over the place?

My husband is worried that now that she is so mobile, that she will fall off the changing table (dresser top). I’m always standing right there so I don’t see how she could fall off, and changing her on the floor seems like it’d be more difficult because she’d just crawl away from me.

Thoughts?