diff --git a/clippy_lints/src/new_without_default.rs b/clippy_lints/src/new_without_default.rs
index 093ec389335..5c45ee6d94a 100644
--- a/clippy_lints/src/new_without_default.rs
+++ b/clippy_lints/src/new_without_default.rs
@@ -88,15 +88,9 @@ impl<'tcx> LateLintPass<'tcx> for NewWithoutDefault {
                             // shouldn't be implemented when it is hidden in docs
                             return;
                         }
-                        if impl_item
-                            .generics
-                            .params
-                            .iter()
-                            .any(|gen| matches!(gen.kind, hir::GenericParamKind::Type { .. }))
-                        {
-                            // when the result of `new()` depends on a type parameter we should not require
-                            // an
-                            // impl of `Default`
+                        if !impl_item.generics.params.is_empty() {
+                            // when the result of `new()` depends on a parameter we should not require
+                            // an impl of `Default`
                             return;
                         }
                         if_chain! {
diff --git a/tests/ui/new_without_default.rs b/tests/ui/new_without_default.rs
index 538927b1805..65809023f8d 100644
--- a/tests/ui/new_without_default.rs
+++ b/tests/ui/new_without_default.rs
@@ -212,3 +212,17 @@ impl DocHidden {
 }
 
 fn main() {}
+
+pub struct IgnoreConstGenericNew(usize);
+impl IgnoreConstGenericNew {
+    pub fn new<const N: usize>() -> Self {
+        Self(N)
+    }
+}
+
+pub struct IgnoreLifetimeNew;
+impl IgnoreLifetimeNew {
+    pub fn new<'a>() -> Self {
+        Self
+    }
+}