diff --git a/src/Magnum/MeshTools/Interleave.cpp b/src/Magnum/MeshTools/Interleave.cpp
index e7bbf7544..baa94dd2b 100644
--- a/src/Magnum/MeshTools/Interleave.cpp
+++ b/src/Magnum/MeshTools/Interleave.cpp
@@ -91,7 +91,24 @@ Containers::Optional<Containers::StridedArrayView2D<const char>> interleavedData
         return Containers::NullOpt;
 
     return Containers::StridedArrayView2D<const char>{
-        mesh.vertexData(), mesh.vertexData().data() + minOffset,
+        /* MeshData only requires the vertex data to be large enough to fit the
+           actual data, not to have the size large enough to fit `count*stride`
+           elements. The StridedArrayView expects the latter, so this extends
+           the size to satisfy the assert. For simplicity it overextends by the
+           whole stride instead of just max end offset, relying on the input
+           MeshData having checked the bounds already. To be clear, the output
+           is *never* out of bounds of the vertex data, the second dimension is
+           always sized to fit within. This is verified in the
+           interleavedDataGapsTrailingOmitted() test.
+
+           Additionally, the max() is here because some algorithms such as
+           combineFaceAttributes() pass `{nullptr, ~std::size_t{}}` as
+           vertexData and without the max() it would overflow. That case is
+           tested in interleavedDataVertexDataWholeMemory(). */
+        /** @todo maybe just fix StridedArrayView to require only what's really
+            needed? */
+        {mesh.vertexData().data(), Math::max(mesh.vertexData().size(), mesh.vertexData().size() + stride)},
+        mesh.vertexData().data() + minOffset,
         {mesh.vertexCount(), maxOffset - minOffset},
         {std::ptrdiff_t(stride), 1}};
 }
diff --git a/src/Magnum/MeshTools/Test/InterleaveTest.cpp b/src/Magnum/MeshTools/Test/InterleaveTest.cpp
index b9cb5e855..1c51d61fc 100644
--- a/src/Magnum/MeshTools/Test/InterleaveTest.cpp
+++ b/src/Magnum/MeshTools/Test/InterleaveTest.cpp
@@ -59,6 +59,7 @@ struct InterleaveTest: Corrade::TestSuite::Tester {
     void interleavedData();
     void interleavedDataUnordered();
     void interleavedDataGaps();
+    void interleavedDataGapsTrailingOmitted();
     void interleavedDataAliased();
     void interleavedDataSingleAttribute();
     void interleavedDataArrayAttributes();
@@ -147,6 +148,7 @@ InterleaveTest::InterleaveTest() {
               &InterleaveTest::interleavedData,
               &InterleaveTest::interleavedDataUnordered,
               &InterleaveTest::interleavedDataGaps,
+              &InterleaveTest::interleavedDataGapsTrailingOmitted,
               &InterleaveTest::interleavedDataAliased,
               &InterleaveTest::interleavedDataSingleAttribute,
               &InterleaveTest::interleavedDataArrayAttributes,
@@ -450,6 +452,30 @@ void InterleaveTest::interleavedDataGaps() {
     CORRADE_COMPARE(interleaved.stride()[1], 1);
 }
 
+void InterleaveTest::interleavedDataGapsTrailingOmitted() {
+    /* Similar to interleavedDataGaps(), but with padding at the end omitted.
+       MeshData allows that, but StridedArrayView constructors don't (which is
+       why this is using offset-only attributes), so verify we don't trip up on
+       that. */
+    Containers::Array<char> vertexData{2*48 + 36};
+    const char* vertexDataPointer = vertexData.data();
+
+    Trade::MeshData data{MeshPrimitive::Triangles, Utility::move(vertexData), {
+        Trade::MeshAttributeData{Trade::MeshAttribute::Position,
+            VertexFormat::Vector2, 5, 3, 48},
+        Trade::MeshAttributeData{Trade::MeshAttribute::Normal,
+            VertexFormat::Vector3, 24, 3, 48}
+    }};
+    CORRADE_VERIFY(MeshTools::isInterleaved(data));
+
+    Containers::StridedArrayView2D<const char> interleaved = MeshTools::interleavedData(data);
+    CORRADE_COMPARE(interleaved.data(), vertexDataPointer + 5);
+    CORRADE_COMPARE(interleaved.size()[0], 3);
+    CORRADE_COMPARE(interleaved.size()[1], 31);
+    CORRADE_COMPARE(interleaved.stride()[0], 48);
+    CORRADE_COMPARE(interleaved.stride()[1], 1);
+}
+
 void InterleaveTest::interleavedDataAliased() {
     /* Compared to interleavedData() the normals share first two components
        with positions */