Is it possible to move a tab from a window in one workspace to another workspace?

I often find myself opening a tab in the wrong workspace (e.g. I visit a computing webpage when I'm in a 'Physics' workspace). So it would be great to be able to just drag the tab over to the Workspaces window and drop it into a window in the correct workspace. But this doesn't seem to be possible right now -- dragging the tab over to the Workspaces window doesn't do anything.