diff --git a/src/can/operator.rs b/src/can/operator.rs
index 97160b421d..f1ec619ef8 100644
--- a/src/can/operator.rs
+++ b/src/can/operator.rs
@@ -199,7 +199,32 @@ pub fn desugar<'a>(arena: &'a Bump, loc_expr: &'a Located<Expr<'a>>) -> &'a Loca
                 let value = match loc_op.value {
                     Pizza => {
                         // Rewrite the Pizza operator into an Apply
-                        panic!("TODO desugar |> operator into an Apply");
+
+                        match &right.value {
+                            Apply(function, arguments, _called_via) => {
+                                let mut args = Vec::with_capacity_in(1 + arguments.len(), arena);
+
+                                args.push(left);
+
+                                for arg in arguments {
+                                    args.push(arg);
+                                }
+
+                                Apply(function, args, CalledVia::BinOp(Pizza))
+                            }
+                            expr => {
+                                // e.g. `1 |> (if b then (\a -> a) else (\c -> c))`
+                                let mut args = Vec::with_capacity_in(1, arena);
+                                args.push(*arena.alloc(left));
+
+                                let function = arena.alloc(Located {
+                                    value: expr.clone(),
+                                    region: right.region,
+                                });
+
+                                Apply(function, args, CalledVia::BinOp(Pizza))
+                            }
+                        }
                     }
                     binop => {
                         // This is a normal binary operator like (+), so desugar it
@@ -207,8 +232,8 @@ pub fn desugar<'a>(arena: &'a Bump, loc_expr: &'a Located<Expr<'a>>) -> &'a Loca
                         let (module_parts, name) = desugar_binop(binop, arena);
                         let mut args = Vec::with_capacity_in(2, arena);
 
-                        args.push(*arena.alloc(left));
-                        args.push(*arena.alloc(right));
+                        args.push(left);
+                        args.push(right);
 
                         let loc_expr = arena.alloc(Located {
                             value: Expr::Var(module_parts, name),
diff --git a/tests/test_infer.rs b/tests/test_infer.rs
index df3805b73f..26f31a9af1 100644
--- a/tests/test_infer.rs
+++ b/tests/test_infer.rs
@@ -505,6 +505,31 @@ mod test_infer {
         );
     }
 
+    #[test]
+    fn pizza_desugar() {
+        infer_eq(
+            indoc!(
+                r#"
+                1 |> (\a -> a)
+                "#
+            ),
+            "Int",
+        );
+    }
+
+    #[test]
+    fn pizza_desugar_two_arguments() {
+        infer_eq(
+            indoc!(
+                r#"
+                always = \a b -> a
+
+                1 |> always "foo"
+                "#
+            ),
+            "Int",
+        );
+    }
     //     #[test]
     //     fn identity() {
     //         infer_eq(