diff --git a/Lib/ufo2ft/__init__.py b/Lib/ufo2ft/__init__.py
index de2bc6208..b71c7940b 100644
--- a/Lib/ufo2ft/__init__.py
+++ b/Lib/ufo2ft/__init__.py
@@ -234,7 +234,11 @@ def compileInterpolatableTTFs(
     glyphSets = preProcessor.process()
 
     for ufo, glyphSet, layerName in zip(ufos, glyphSets, layerNames):
-        logger.info("Building OpenType tables for %s", _LazyFontName(ufo))
+        fontName = _LazyFontName(ufo)
+        if layerName is not None:
+            logger.info("Building OpenType tables for %s-%s", fontName, layerName)
+        else:
+            logger.info("Building OpenType tables for %s", fontName)
 
         outlineCompiler = outlineCompilerClass(
             ufo,
diff --git a/Lib/ufo2ft/filters/__init__.py b/Lib/ufo2ft/filters/__init__.py
index cdf1dd013..b59b85616 100644
--- a/Lib/ufo2ft/filters/__init__.py
+++ b/Lib/ufo2ft/filters/__init__.py
@@ -188,7 +188,11 @@ def __call__(self, font, glyphSet=None):
         Otherwise, run the filter in-place on the font's default
         glyph set.
         """
-        logger.info("Running %s on %s", self.name, _LazyFontName(font))
+        fontName = _LazyFontName(font)
+        if glyphSet is not None and getattr(glyphSet, "name", None):
+            logger.info("Running %s on %s-%s", self.name, fontName, glyphSet.name)
+        else:
+            logger.info("Running %s on %s", self.name, fontName)
 
         if glyphSet is None:
             glyphSet = _GlyphSet.from_layer(font)
diff --git a/Lib/ufo2ft/util.py b/Lib/ufo2ft/util.py
index 65dda6927..394e10093 100644
--- a/Lib/ufo2ft/util.py
+++ b/Lib/ufo2ft/util.py
@@ -60,6 +60,7 @@ def from_layer(cls, font, layerName=None, copy=False):
         else:
             self = cls((g.name, g) for g in layer)
             self.lib = layer.lib
+        self.name = layer.name if layerName is not None else None
         return self