diff --git a/CHANGES b/CHANGES
index ec6ad4b61..a96335e6e 100644
--- a/CHANGES
+++ b/CHANGES
@@ -22,8 +22,16 @@ This release contains contributions from (alphabetically by first name):
  - The *machineid* module, which generates UUIDs for systemd and dbus
    and can generate entropy files (filled from `/dev/urandom` in the host
    system) now supports more than one entropy file; generate them as needed
-    (or copy a fixed value to all, depending on *entropy-copy*). Deprecate
-    *entropy* (which generates a specific output file) as too inflexible.
+   (or copy a fixed value to all, depending on *entropy-copy*). Deprecate
+   *entropy* (which generates a specific output file) as too inflexible.
+ - Progress reporting from the *unpackfs* module has been revamped:
+   it reports more often now, so that it is more obvious that files
+   are being transferred even when the percentage progress does not
+   change.
+ - The *unpackfs* module now supports a *weight* setting for each
+   of the unpack entries. For a single entry this does not matter,
+   but if there are multiple entries it allows tweaking the relative
+   progress between each entry.
 
 
 # 3.2.30 (2020-09-03) #
diff --git a/src/modules/unpackfs/main.py b/src/modules/unpackfs/main.py
index d89607465..a573cf6e7 100644
--- a/src/modules/unpackfs/main.py
+++ b/src/modules/unpackfs/main.py
@@ -48,8 +48,8 @@ class UnpackEntry:
     :param sourcefs:
     :param destination:
     """
-    __slots__ = ['source', 'sourcefs', 'destination', 'copied', 'total', 'exclude', 'excludeFile',
-                 'mountPoint']
+    __slots__ = ('source', 'sourcefs', 'destination', 'copied', 'total', 'exclude', 'excludeFile',
+                 'mountPoint', 'weight')
 
     def __init__(self, source, sourcefs, destination):
         """
@@ -71,6 +71,7 @@ class UnpackEntry:
         self.copied = 0
         self.total = 0
         self.mountPoint = None
+        self.weight = 1
 
     def is_file(self):
         return self.sourcefs == "file"
@@ -162,6 +163,8 @@ def file_copy(source, entry, progress_cb):
     :param progress_cb: A callback function for progress reporting.
         Takes a number and a total-number.
     """
+    import time
+
     dest = entry.destination
 
     # Environment used for executing rsync properly
@@ -190,12 +193,14 @@ def file_copy(source, entry, progress_cb):
         args, env=at_env,
         stdout=subprocess.PIPE, close_fds=ON_POSIX
         )
-    # last_num_files_copied trails num_files_copied, and whenever at least 100 more
-    # files have been copied, progress is reported and last_num_files_copied is updated.
+    # last_num_files_copied trails num_files_copied, and whenever at least 107 more
+    # files (file_count_chunk) have been copied, progress is reported and
+    # last_num_files_copied is updated. The chunk size isn't "tidy"
+    # so that all the digits of the progress-reported number change.
+    #
     last_num_files_copied = 0
-    file_count_chunk = entry.total / 100
-    if file_count_chunk < 100:
-        file_count_chunk = 100
+    last_timestamp_reported = time.time()
+    file_count_chunk = 107
 
     for line in iter(process.stdout.readline, b''):
         # rsync outputs progress in parentheses. Each line will have an
@@ -220,9 +225,10 @@ def file_copy(source, entry, progress_cb):
             # adjusting the offset so that progressbar can be continuesly drawn
             num_files_copied = num_files_total_local - num_files_remaining
 
-            # Update about once every 1% of this entry
-            if num_files_copied - last_num_files_copied >= file_count_chunk:
+            now = time.time()
+            if (num_files_copied - last_num_files_copied >= file_count_chunk) or (now - last_timestamp_reported > 0.5):
                 last_num_files_copied = num_files_copied
+                last_timestamp_reported = now
                 progress_cb(num_files_copied, num_files_total_local)
 
     process.wait()
@@ -260,6 +266,7 @@ class UnpackOperation:
     def __init__(self, entries):
         self.entries = entries
         self.entry_for_source = dict((x.source, x) for x in self.entries)
+        self.total_weight = sum([e.weight for e in entries])
 
     def report_progress(self):
         """
@@ -267,30 +274,29 @@ class UnpackOperation:
         """
         progress = float(0)
 
-        done = 0  # Done and total apply to the entry now-unpacking
-        total = 0
-        complete = 0  # This many are already finished
+        current_total = 0
+        current_done = 0  # Files count in the current entry
+        complete_count = 0
+        complete_weight = 0  # This much weight already finished
         for entry in self.entries:
             if entry.total == 0:
                 # Total 0 hasn't counted yet
                 continue
             if entry.total == entry.copied:
-                complete += 1
+                complete_weight += entry.weight
+                complete_count += 1
             else:
                 # There is at most *one* entry in-progress
-                total = entry.total
-                done = entry.copied
+                current_total = entry.total
+                current_done = entry.copied
+                complete_weight += entry.weight * ( 1.0 * current_done ) / current_total
                 break
 
-        if total > 0:
-            # Pretend that each entry represents an equal amount of work;
-            # the complete ones count as 100% of their own fraction
-            # (and have *not* been counted in total or done), while
-            # total/done represents the fraction of the current fraction.
-            progress = ( ( 1.0 * complete ) / len(self.entries) ) + ( ( 1.0 / len(self.entries) ) * ( 1.0 * done / total ) )
+        if current_total > 0:
+            progress = ( 1.0 * complete_weight ) / self.total_weight
 
         global status
-        status = _("Unpacking image {}/{}, file {}/{}").format((complete+1),len(self.entries),done, total)
+        status = _("Unpacking image {}/{}, file {}/{}").format((complete_count+1), len(self.entries), current_done, current_total)
         job.setprogress(progress)
 
     def run(self):
@@ -395,6 +401,24 @@ def repair_root_permissions(root_mount_point):
             # But ignore it
 
 
+def extract_weight(entry):
+    """
+    Given @p entry, a dict representing a single entry in
+    the *unpack* list, returns its weight (1, or whatever is
+    set if it is sensible).
+    """
+    w =  entry.get("weight", None)
+    if w:
+        try:
+            wi = int(w)
+            return wi if wi > 0 else 1
+        except ValueError:
+            utils.warning("*weight* setting {!r} is not valid.".format(w))
+        except TypeError:
+            utils.warning("*weight* setting {!r} must be number.".format(w))
+    return 1
+
+
 def run():
     """
     Unsquash filesystem.
@@ -461,6 +485,7 @@ def run():
             unpack[-1].exclude = entry["exclude"]
         if entry.get("excludeFile", None):
             unpack[-1].excludeFile = entry["excludeFile"]
+        unpack[-1].weight = extract_weight(entry)
 
         is_first = False
 
diff --git a/src/modules/unpackfs/unpackfs.conf b/src/modules/unpackfs/unpackfs.conf
index 2c4a25a80..d12110b60 100644
--- a/src/modules/unpackfs/unpackfs.conf
+++ b/src/modules/unpackfs/unpackfs.conf
@@ -32,6 +32,12 @@
 #   - *excludeFile* is a single file that is passed to rsync as an
 #       --exclude-file argument. This should be a full pathname
 #       inside the **host** filesystem.
+#   - *weight* is useful when the entries take wildly different
+#       times to unpack (e.g. with a squashfs, and one single file)
+#       and the total weight of this module should be distributed
+#       differently between the entries. (This is only relevant when
+#       there is more than one entry; by default all the entries
+#       have the same weight, 1)
 #
 # EXAMPLES
 #
@@ -85,8 +91,10 @@ unpack:
     -   source: ../CHANGES
         sourcefs: file
         destination: "/tmp/changes.txt"
+        weight: 1  # Single file
     -   source: src/qml/calamares/slideshow
         sourcefs: file
         destination: "/tmp/slideshow/"
         exclude: [ "*.qmlc", "qmldir" ]
+        weight: 5  # Lots of files
         # excludeFile: /etc/calamares/modules/unpackfs/exclude-list.txt