What I do is this:
1. Open the destination in another tab in Nautilus.
2. Select the files/folders in the original tab.
3. Right click and select "Move To..." or "Copy To..."
4. The other open tabs are shown under "Places" in the dialog.
5. Select and go.
Would love to see this fixed but I survive with this workaround.
Workaround
What I do is this:
1. Open the destination in another tab in Nautilus.
2. Select the files/folders in the original tab.
3. Right click and select "Move To..." or "Copy To..."
4. The other open tabs are shown under "Places" in the dialog.
5. Select and go.
Would love to see this fixed but I survive with this workaround.