diff --git a/Tests/varLib/data/SingleMaster.designspace b/Tests/varLib/data/SingleMaster.designspace
new file mode 100644
index 000000000..53bdeabf9
--- /dev/null
+++ b/Tests/varLib/data/SingleMaster.designspace
@@ -0,0 +1,13 @@
+<?xml version='1.0' encoding='utf-8'?>
+<designspace format="3">
+    <axes>
+        <axis default="400" maximum="400" minimum="400" name="weight" tag="wght" />
+    </axes>
+    <sources>
+        <source familyname="Test Family" filename="master_ufo/TestFamily-Master0.ufo" name="master_0">
+            <location>
+                <dimension name="weight" xvalue="400" />
+            </location>
+        </source>
+    </sources>
+</designspace>
diff --git a/Tests/varLib/data/test_results/SingleMaster.ttx b/Tests/varLib/data/test_results/SingleMaster.ttx
new file mode 100644
index 000000000..79cc76556
--- /dev/null
+++ b/Tests/varLib/data/test_results/SingleMaster.ttx
@@ -0,0 +1,98 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<ttFont sfntVersion="\x00\x01\x00\x00" ttLibVersion="4.0">
+
+  <GDEF>
+    <Version value="0x00010003"/>
+    <GlyphClassDef Format="2">
+      <ClassDef glyph="uni0024" class="1"/>
+      <ClassDef glyph="uni0024.nostroke" class="1"/>
+      <ClassDef glyph="uni0041" class="1"/>
+      <ClassDef glyph="uni0061" class="1"/>
+    </GlyphClassDef>
+  </GDEF>
+
+  <HVAR>
+    <Version value="0x00010000"/>
+    <VarStore Format="1">
+      <Format value="1"/>
+      <VarRegionList>
+        <!-- RegionAxisCount=1 -->
+        <!-- RegionCount=0 -->
+      </VarRegionList>
+      <!-- VarDataCount=1 -->
+      <VarData index="0">
+        <!-- ItemCount=6 -->
+        <NumShorts value="0"/>
+        <!-- VarRegionCount=0 -->
+        <Item index="0" value="[]"/>
+        <Item index="1" value="[]"/>
+        <Item index="2" value="[]"/>
+        <Item index="3" value="[]"/>
+        <Item index="4" value="[]"/>
+        <Item index="5" value="[]"/>
+      </VarData>
+    </VarStore>
+  </HVAR>
+
+  <STAT>
+    <Version value="0x00010001"/>
+    <DesignAxisRecordSize value="8"/>
+    <!-- DesignAxisCount=1 -->
+    <DesignAxisRecord>
+      <Axis index="0">
+        <AxisTag value="wght"/>
+        <AxisNameID value="256"/>  <!-- Weight -->
+        <AxisOrdering value="0"/>
+      </Axis>
+    </DesignAxisRecord>
+    <!-- AxisValueCount=0 -->
+    <ElidedFallbackNameID value="2"/>  <!-- Regular -->
+  </STAT>
+
+  <fvar>
+
+    <!-- Weight -->
+    <Axis>
+      <AxisTag>wght</AxisTag>
+      <Flags>0x0</Flags>
+      <MinValue>400.0</MinValue>
+      <DefaultValue>400.0</DefaultValue>
+      <MaxValue>400.0</MaxValue>
+      <AxisNameID>256</AxisNameID>
+    </Axis>
+  </fvar>
+
+  <name>
+    <namerecord nameID="256" platformID="1" platEncID="0" langID="0x0" unicode="True">
+      Weight
+    </namerecord>
+    <namerecord nameID="1" platformID="3" platEncID="1" langID="0x409">
+      Test Family
+    </namerecord>
+    <namerecord nameID="2" platformID="3" platEncID="1" langID="0x409">
+      Regular
+    </namerecord>
+    <namerecord nameID="3" platformID="3" platEncID="1" langID="0x409">
+      Version 1.001;ADBO;Test Family Regular
+    </namerecord>
+    <namerecord nameID="4" platformID="3" platEncID="1" langID="0x409">
+      Test Family
+    </namerecord>
+    <namerecord nameID="5" platformID="3" platEncID="1" langID="0x409">
+      Version 1.001
+    </namerecord>
+    <namerecord nameID="6" platformID="3" platEncID="1" langID="0x409">
+      TestFamily-Master0
+    </namerecord>
+    <namerecord nameID="9" platformID="3" platEncID="1" langID="0x409">
+      Frank Grießhammer
+    </namerecord>
+    <namerecord nameID="17" platformID="3" platEncID="1" langID="0x409">
+      Master 0
+    </namerecord>
+    <namerecord nameID="256" platformID="3" platEncID="1" langID="0x409">
+      Weight
+    </namerecord>
+  </name>
+
+</ttFont>
diff --git a/Tests/varLib/varLib_test.py b/Tests/varLib/varLib_test.py
index f7289e72b..545b98e0d 100644
--- a/Tests/varLib/varLib_test.py
+++ b/Tests/varLib/varLib_test.py
@@ -584,6 +584,15 @@ class BuildTest(unittest.TestCase):
         self.expect_ttx(varfont, expected_ttx_path, tables)
         self.check_ttx_dump(varfont, expected_ttx_path, tables, suffix)
 
+    def test_varlib_build_single_master(self):
+        self._run_varlib_build_test(
+            designspace_name='SingleMaster',
+            font_name='TestFamily',
+            tables=['GDEF', 'HVAR', 'MVAR', 'STAT', 'fvar', 'cvar', 'gvar', 'name'],
+            expected_ttx_name='SingleMaster',
+            save_before_dump=True,
+        )
+
     def test_kerning_merging(self):
         """Test the correct merging of class-based pair kerning.