diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md
index 81618aacebcc..c5dcec2167e0 100644
--- a/CONTRIBUTING.md
+++ b/CONTRIBUTING.md
@@ -70,8 +70,9 @@ Please document your lint with a doc comment akin to the following:
 
 Clippy uses UI tests. UI tests check that the output of the compiler is exactly as expected.
 Of course there's little sense in writing the output yourself or copying it around.
-Therefore you can simply run `tests/ui/update-all-references.sh` and check whether
-the output looks as you expect with `git diff`. Commit all `*.stderr` files, too.
+Therefore you can simply run `tests/ui/update-all-references.sh` (after running
+`cargo test`) and check whether the output looks as you expect with `git diff`. Commit all
+`*.stderr` files, too.
 
 ### Testing manually
 
diff --git a/clippy_lints/src/const_static_lifetime.rs b/clippy_lints/src/const_static_lifetime.rs
index 6ee4dad7db40..69a4c0ae8808 100644
--- a/clippy_lints/src/const_static_lifetime.rs
+++ b/clippy_lints/src/const_static_lifetime.rs
@@ -48,20 +48,23 @@ impl StaticConst {
             TyKind::Rptr(ref optional_lifetime, ref borrow_type) => {
                 // Match the 'static lifetime
                 if let Some(lifetime) = *optional_lifetime {
-                    if let TyKind::Path(_, _) = borrow_type.ty.node {
-                        // Verify that the path is a str
-                        if lifetime.ident.name == "'static" {
-                            let mut sug: String = String::new();
-                            span_lint_and_then(
-                                cx,
-                                CONST_STATIC_LIFETIME,
-                                lifetime.span,
-                                "Constants have by default a `'static` lifetime",
-                                |db| {
-                                    db.span_suggestion(lifetime.span, "consider removing `'static`", sug);
-                                },
-                            );
+                    match borrow_type.ty.node {
+                        TyKind::Path(..) | TyKind::Slice(..) | TyKind::Array(..) |
+                        TyKind::Tup(..) => {
+                            if lifetime.ident.name == "'static" {
+                                let mut sug: String = String::new();
+                                span_lint_and_then(
+                                    cx,
+                                    CONST_STATIC_LIFETIME,
+                                    lifetime.span,
+                                    "Constants have by default a `'static` lifetime",
+                                    |db| {
+                                        db.span_suggestion(lifetime.span, "consider removing `'static`", sug);
+                                    },
+                                );
+                            }
                         }
+                        _ => {}
                     }
                 }
                 self.visit_type(&*borrow_type.ty, cx);
diff --git a/tests/ui/const_static_lifetime.rs b/tests/ui/const_static_lifetime.rs
index d2caf59935e8..a033f2b368e2 100644
--- a/tests/ui/const_static_lifetime.rs
+++ b/tests/ui/const_static_lifetime.rs
@@ -17,6 +17,12 @@ const VAR_SEVEN: &[&(&str, &'static [&'static str])] = &[&("one", &["other one"]
 
 const VAR_HEIGHT: &'static Foo = &Foo {};
 
+const VAR_SLICE: &'static [u8] = b"Test constant #1"; // ERROR Consider removing 'static.
+
+const VAR_TUPLE: &'static (u8, u8) = &(1, 2); // ERROR Consider removing 'static.
+
+const VAR_ARRAY: &'static [u8; 1] = b"T"; // ERROR Consider removing 'static.
+
 fn main() {
     let false_positive: &'static str = "test";
     println!("{}", VAR_ONE);
diff --git a/tests/ui/const_static_lifetime.stderr b/tests/ui/const_static_lifetime.stderr
index 1eeb27c2448a..d4558f7b2414 100644
--- a/tests/ui/const_static_lifetime.stderr
+++ b/tests/ui/const_static_lifetime.stderr
@@ -24,6 +24,12 @@ error: Constants have by default a `'static` lifetime
 10 | const VAR_FOUR: (&str, (&str, &'static str), &'static str) = ("on", ("th", "th"), "on"); // ERROR Consider removing 'static
    |                                               ^^^^^^^ help: consider removing `'static`
 
+error: Constants have by default a `'static` lifetime
+  --> $DIR/const_static_lifetime.rs:12:18
+   |
+12 | const VAR_FIVE: &'static [&[&'static str]] = &[&["test"], &["other one"]]; // ERROR Consider removing 'static
+   |                  ^^^^^^^ help: consider removing `'static`
+
 error: Constants have by default a `'static` lifetime
   --> $DIR/const_static_lifetime.rs:12:30
    |
@@ -36,6 +42,12 @@ error: Constants have by default a `'static` lifetime
 14 | const VAR_SIX: &'static u8 = &5;
    |                 ^^^^^^^ help: consider removing `'static`
 
+error: Constants have by default a `'static` lifetime
+  --> $DIR/const_static_lifetime.rs:16:29
+   |
+16 | const VAR_SEVEN: &[&(&str, &'static [&'static str])] = &[&("one", &["other one"])];
+   |                             ^^^^^^^ help: consider removing `'static`
+
 error: Constants have by default a `'static` lifetime
   --> $DIR/const_static_lifetime.rs:16:39
    |
@@ -48,3 +60,21 @@ error: Constants have by default a `'static` lifetime
 18 | const VAR_HEIGHT: &'static Foo = &Foo {};
    |                    ^^^^^^^ help: consider removing `'static`
 
+error: Constants have by default a `'static` lifetime
+  --> $DIR/const_static_lifetime.rs:20:19
+   |
+20 | const VAR_SLICE: &'static [u8] = b"Test constant #1"; // ERROR Consider removing 'static.
+   |                   ^^^^^^^ help: consider removing `'static`
+
+error: Constants have by default a `'static` lifetime
+  --> $DIR/const_static_lifetime.rs:22:19
+   |
+22 | const VAR_TUPLE: &'static (u8, u8) = &(1, 2); // ERROR Consider removing 'static.
+   |                   ^^^^^^^ help: consider removing `'static`
+
+error: Constants have by default a `'static` lifetime
+  --> $DIR/const_static_lifetime.rs:24:19
+   |
+24 | const VAR_ARRAY: &'static [u8; 1] = b"T"; // ERROR Consider removing 'static.
+   |                   ^^^^^^^ help: consider removing `'static`
+
diff --git a/tests/ui/update-all-references.sh b/tests/ui/update-all-references.sh
index d6aa69c7e8d3..acc38f15fbdc 100755
--- a/tests/ui/update-all-references.sh
+++ b/tests/ui/update-all-references.sh
@@ -18,7 +18,7 @@
 #
 # See all `update-references.sh`, if you just want to update a single test.
 
-if [[ "$1" == "--help" || "$1" == "-h" || "$1" == "" ]]; then
+if [[ "$1" == "--help" || "$1" == "-h" ]]; then
     echo "usage: $0"
 fi