diff --git a/nalgebra-sparse/tests/unit_tests/csc.rs b/nalgebra-sparse/tests/unit_tests/csc.rs
index b27f19be..534adb4f 100644
--- a/nalgebra-sparse/tests/unit_tests/csc.rs
+++ b/nalgebra-sparse/tests/unit_tests/csc.rs
@@ -375,4 +375,11 @@ proptest! {
 
         prop_assert_eq!(d_entries, csc_diagonal_entries);
     }
+
+    #[test]
+    fn csc_identity(n in 0 ..= 6usize) {
+        let csc = CscMatrix::<i32>::identity(n);
+        prop_assert_eq!(csc.nnz(), n);
+        prop_assert_eq!(DMatrix::from(&csc), DMatrix::identity(n, n));
+    }
 }
diff --git a/nalgebra-sparse/tests/unit_tests/csr.rs b/nalgebra-sparse/tests/unit_tests/csr.rs
index 2de93e51..d1e62bed 100644
--- a/nalgebra-sparse/tests/unit_tests/csr.rs
+++ b/nalgebra-sparse/tests/unit_tests/csr.rs
@@ -375,4 +375,11 @@ proptest! {
 
         prop_assert_eq!(d_entries, csr_diagonal_entries);
     }
+
+    #[test]
+    fn csr_identity(n in 0 ..= 6usize) {
+        let csr = CsrMatrix::<i32>::identity(n);
+        prop_assert_eq!(csr.nnz(), n);
+        prop_assert_eq!(DMatrix::from(&csr), DMatrix::identity(n, n));
+    }
 }