ReaR backup fails due to "fsize" limit for root is set

Issue

"tar/dd failed with return code 153" error occurs while executing rear -v mkbackup.

Archived 6142 MiB [avg 14102 KiB/sec] OK
ERROR: tar failed with return code 153 and below output:
---snip---
tar: Removing leading `/' from member names
tar: Removing leading `/' from hard link targets
----------
This means that the archiving process ended prematurely, or did
not even start. As a result it is unlikely you can recover this
system properly. Relax-and-Recover is therefore aborting execution.
Aborting due to an error, check /var/log/rear/rear-vm76.log for details
Exiting rear mkbackup (PID 1095) and its descendant processes
Running exit tasks
Terminated

Archived 429 MiB [avg 9157 KiB/sec] OK
ERROR: dd failed with return code 153 and below output:
  ---snip---

  ----------
This means that the archiving process ended prematurely, or did
not even start. As a result it is unlikely you can recover this
system properly. Relax-and-Recover is therefore aborting execution.

Aborting due to an error, check /var/log/rear/rear-vm82.log for details
Exiting rear mkbackup (PID 509290) and its descendant processes
Running exit tasks
Terminated