diff --git a/src/Magnum/MeshTools/Test/TipsifyTest.cpp b/src/Magnum/MeshTools/Test/TipsifyTest.cpp
index 92ca9411d..3b7e97299 100644
--- a/src/Magnum/MeshTools/Test/TipsifyTest.cpp
+++ b/src/Magnum/MeshTools/Test/TipsifyTest.cpp
@@ -36,6 +36,7 @@ struct TipsifyTest: TestSuite::Tester {
 
     void buildAdjacency();
     void tipsify();
+    void oneDegenerateTriangle();
 };
 
 /*
@@ -82,7 +83,8 @@ constexpr std::size_t VertexCount = 19;
 
 TipsifyTest::TipsifyTest() {
     addTests({&TipsifyTest::buildAdjacency,
-              &TipsifyTest::tipsify});
+              &TipsifyTest::tipsify,
+              &TipsifyTest::oneDegenerateTriangle});
 }
 
 void TipsifyTest::buildAdjacency() {
@@ -158,6 +160,15 @@ void TipsifyTest::tipsify() {
     }));
 }
 
+void TipsifyTest::oneDegenerateTriangle() {
+    /* There used to be an OOB access (neighbors[++ti]) caught by ASan, this
+       triggers it */
+    std::vector<UnsignedInt> indices{0, 0, 0};
+    MeshTools::tipsify(indices, 1, 2);
+
+    CORRADE_COMPARE(indices, (std::vector<UnsignedInt>{0, 0, 0}));
+}
+
 }}}}
 
 CORRADE_TEST_MAIN(Magnum::MeshTools::Test::TipsifyTest)